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Finding the Fourth Proportional to 1,729.12, 2,385.84 and 1,030.72

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Solution

The fourth proportional to 1,729.12, 2,385.84 and 1,030.72 is: 1,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.12 : 2,385.84 = 1,030.72 : x
  2. Step 2: Convert to fraction form
    1,729.12/2,385.84 = 1,030.72/x
  3. Step 3: Cross multiply
    1,729.12x = 2,385.84 × 1,030.72
  4. Step 4: Simplify right side
    1,729.12x = 2,459,133.00
  5. Step 5: Solve for x
    x = 2,459,133.00/1,729.12
  6. Step 6: Final answer
    x = 1,422.19

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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.