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Finding the Fourth Proportional to 1,517.61, 2,276.30 and 592.99

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Solution

The fourth proportional to 1,517.61, 2,276.30 and 592.99 is: 889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.61 : 2,276.30 = 592.99 : x
  2. Step 2: Convert to fraction form
    1,517.61/2,276.30 = 592.99/x
  3. Step 3: Cross multiply
    1,517.61x = 2,276.30 × 592.99
  4. Step 4: Simplify right side
    1,517.61x = 1,349,823.14
  5. Step 5: Solve for x
    x = 1,349,823.14/1,517.61
  6. Step 6: Final answer
    x = 889.44

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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.