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Finding the Fourth Proportional to 1,417.49, 2,124.71 and 686.06

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Solution

The fourth proportional to 1,417.49, 2,124.71 and 686.06 is: 1,028.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.49 : 2,124.71 = 686.06 : x
  2. Step 2: Convert to fraction form
    1,417.49/2,124.71 = 686.06/x
  3. Step 3: Cross multiply
    1,417.49x = 2,124.71 × 686.06
  4. Step 4: Simplify right side
    1,417.49x = 1,457,664.49
  5. Step 5: Solve for x
    x = 1,457,664.49/1,417.49
  6. Step 6: Final answer
    x = 1,028.35

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