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Finding the Fourth Proportional to 1,629.71, 2,248.98 and 921.57

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Solution

The fourth proportional to 1,629.71, 2,248.98 and 921.57 is: 1,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.71 : 2,248.98 = 921.57 : x
  2. Step 2: Convert to fraction form
    1,629.71/2,248.98 = 921.57/x
  3. Step 3: Cross multiply
    1,629.71x = 2,248.98 × 921.57
  4. Step 4: Simplify right side
    1,629.71x = 2,072,581.25
  5. Step 5: Solve for x
    x = 2,072,581.25/1,629.71
  6. Step 6: Final answer
    x = 1,271.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.