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Finding the Fourth Proportional to 1,729.47, 2,384.87 and 1,139.25

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Solution

The fourth proportional to 1,729.47, 2,384.87 and 1,139.25 is: 1,570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.47 : 2,384.87 = 1,139.25 : x
  2. Step 2: Convert to fraction form
    1,729.47/2,384.87 = 1,139.25/x
  3. Step 3: Cross multiply
    1,729.47x = 2,384.87 × 1,139.25
  4. Step 4: Simplify right side
    1,729.47x = 2,716,957.45
  5. Step 5: Solve for x
    x = 2,716,957.45/1,729.47
  6. Step 6: Final answer
    x = 1,570.98

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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.