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Finding the Fourth Proportional to 1,459.10, 2,188.10 and 534.38

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Solution

The fourth proportional to 1,459.10, 2,188.10 and 534.38 is: 801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.10 : 2,188.10 = 534.38 : x
  2. Step 2: Convert to fraction form
    1,459.10/2,188.10 = 534.38/x
  3. Step 3: Cross multiply
    1,459.10x = 2,188.10 × 534.38
  4. Step 4: Simplify right side
    1,459.10x = 1,169,276.88
  5. Step 5: Solve for x
    x = 1,169,276.88/1,459.10
  6. Step 6: Final answer
    x = 801.37

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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.