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Finding the Fourth Proportional to 3,154.98, 4,726.10 and 1,592.81

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Solution

The fourth proportional to 3,154.98, 4,726.10 and 1,592.81 is: 2,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.98 : 4,726.10 = 1,592.81 : x
  2. Step 2: Convert to fraction form
    3,154.98/4,726.10 = 1,592.81/x
  3. Step 3: Cross multiply
    3,154.98x = 4,726.10 × 1,592.81
  4. Step 4: Simplify right side
    3,154.98x = 7,527,747.75
  5. Step 5: Solve for x
    x = 7,527,747.75/3,154.98
  6. Step 6: Final answer
    x = 2,385.99

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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.