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Finding the Fourth Proportional to 1,828,920.78, 2,742,938.08 and 763,385.22

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Solution

The fourth proportional to 1,828,920.78, 2,742,938.08 and 763,385.22 is: 1,144,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,920.78 : 2,742,938.08 = 763,385.22 : x
  2. Step 2: Convert to fraction form
    1,828,920.78/2,742,938.08 = 763,385.22/x
  3. Step 3: Cross multiply
    1,828,920.78x = 2,742,938.08 × 763,385.22
  4. Step 4: Simplify right side
    1,828,920.78x = 2,093,918,389,647.18
  5. Step 5: Solve for x
    x = 2,093,918,389,647.18/1,828,920.78
  6. Step 6: Final answer
    x = 1,144,892.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.