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Finding the Fourth Proportional to 2,430.84, 3,646.66 and 1,044.22

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Solution

The fourth proportional to 2,430.84, 3,646.66 and 1,044.22 is: 1,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.84 : 3,646.66 = 1,044.22 : x
  2. Step 2: Convert to fraction form
    2,430.84/3,646.66 = 1,044.22/x
  3. Step 3: Cross multiply
    2,430.84x = 3,646.66 × 1,044.22
  4. Step 4: Simplify right side
    2,430.84x = 3,807,915.31
  5. Step 5: Solve for x
    x = 3,807,915.31/2,430.84
  6. Step 6: Final answer
    x = 1,566.50

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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.