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Finding the Fourth Proportional to 1,512.88, 2,267.90 and 589.03

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Solution

The fourth proportional to 1,512.88, 2,267.90 and 589.03 is: 882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.88 : 2,267.90 = 589.03 : x
  2. Step 2: Convert to fraction form
    1,512.88/2,267.90 = 589.03/x
  3. Step 3: Cross multiply
    1,512.88x = 2,267.90 × 589.03
  4. Step 4: Simplify right side
    1,512.88x = 1,335,862.61
  5. Step 5: Solve for x
    x = 1,335,862.61/1,512.88
  6. Step 6: Final answer
    x = 882.99

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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.