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Finding the Fourth Proportional to 1,729.02, 2,385.80 and 1,020.90

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Solution

The fourth proportional to 1,729.02, 2,385.80 and 1,020.90 is: 1,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.02 : 2,385.80 = 1,020.90 : x
  2. Step 2: Convert to fraction form
    1,729.02/2,385.80 = 1,020.90/x
  3. Step 3: Cross multiply
    1,729.02x = 2,385.80 × 1,020.90
  4. Step 4: Simplify right side
    1,729.02x = 2,435,663.22
  5. Step 5: Solve for x
    x = 2,435,663.22/1,729.02
  6. Step 6: Final answer
    x = 1,408.70

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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.