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Finding the Fourth Proportional to 1,492.52, 2,234.46 and 913.64

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Solution

The fourth proportional to 1,492.52, 2,234.46 and 913.64 is: 1,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.52 : 2,234.46 = 913.64 : x
  2. Step 2: Convert to fraction form
    1,492.52/2,234.46 = 913.64/x
  3. Step 3: Cross multiply
    1,492.52x = 2,234.46 × 913.64
  4. Step 4: Simplify right side
    1,492.52x = 2,041,492.03
  5. Step 5: Solve for x
    x = 2,041,492.03/1,492.52
  6. Step 6: Final answer
    x = 1,367.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.