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Finding the Fourth Proportional to 1,517.37, 2,276.33 and 530.14

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Solution

The fourth proportional to 1,517.37, 2,276.33 and 530.14 is: 795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.37 : 2,276.33 = 530.14 : x
  2. Step 2: Convert to fraction form
    1,517.37/2,276.33 = 530.14/x
  3. Step 3: Cross multiply
    1,517.37x = 2,276.33 × 530.14
  4. Step 4: Simplify right side
    1,517.37x = 1,206,773.59
  5. Step 5: Solve for x
    x = 1,206,773.59/1,517.37
  6. Step 6: Final answer
    x = 795.31

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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.