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Finding the Fourth Proportional to 1,869.18, 2,805.06 and 714.94

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Solution

The fourth proportional to 1,869.18, 2,805.06 and 714.94 is: 1,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.18 : 2,805.06 = 714.94 : x
  2. Step 2: Convert to fraction form
    1,869.18/2,805.06 = 714.94/x
  3. Step 3: Cross multiply
    1,869.18x = 2,805.06 × 714.94
  4. Step 4: Simplify right side
    1,869.18x = 2,005,449.60
  5. Step 5: Solve for x
    x = 2,005,449.60/1,869.18
  6. Step 6: Final answer
    x = 1,072.90

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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.