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Finding the Fourth Proportional to 1,542.16, 2,311.03 and 1,459.00

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Solution

The fourth proportional to 1,542.16, 2,311.03 and 1,459.00 is: 2,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.16 : 2,311.03 = 1,459.00 : x
  2. Step 2: Convert to fraction form
    1,542.16/2,311.03 = 1,459.00/x
  3. Step 3: Cross multiply
    1,542.16x = 2,311.03 × 1,459.00
  4. Step 4: Simplify right side
    1,542.16x = 3,371,773.92
  5. Step 5: Solve for x
    x = 3,371,773.92/1,542.16
  6. Step 6: Final answer
    x = 2,186.40

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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.