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Finding the Fourth Proportional to 2,328.85, 3,492.92 and 1,158.47

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Solution

The fourth proportional to 2,328.85, 3,492.92 and 1,158.47 is: 1,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.85 : 3,492.92 = 1,158.47 : x
  2. Step 2: Convert to fraction form
    2,328.85/3,492.92 = 1,158.47/x
  3. Step 3: Cross multiply
    2,328.85x = 3,492.92 × 1,158.47
  4. Step 4: Simplify right side
    2,328.85x = 4,046,441.56
  5. Step 5: Solve for x
    x = 4,046,441.56/2,328.85
  6. Step 6: Final answer
    x = 1,737.53

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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.