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Finding the Fourth Proportional to 1,592.69, 2,388.02 and 862.07

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Solution

The fourth proportional to 1,592.69, 2,388.02 and 862.07 is: 1,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.69 : 2,388.02 = 862.07 : x
  2. Step 2: Convert to fraction form
    1,592.69/2,388.02 = 862.07/x
  3. Step 3: Cross multiply
    1,592.69x = 2,388.02 × 862.07
  4. Step 4: Simplify right side
    1,592.69x = 2,058,624.15
  5. Step 5: Solve for x
    x = 2,058,624.15/1,592.69
  6. Step 6: Final answer
    x = 1,292.55

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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.