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Finding the Fourth Proportional to 1,592.62, 2,394.42 and 1,472.35

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Solution

The fourth proportional to 1,592.62, 2,394.42 and 1,472.35 is: 2,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.62 : 2,394.42 = 1,472.35 : x
  2. Step 2: Convert to fraction form
    1,592.62/2,394.42 = 1,472.35/x
  3. Step 3: Cross multiply
    1,592.62x = 2,394.42 × 1,472.35
  4. Step 4: Simplify right side
    1,592.62x = 3,525,424.29
  5. Step 5: Solve for x
    x = 3,525,424.29/1,592.62
  6. Step 6: Final answer
    x = 2,213.60

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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.