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Finding the Fourth Proportional to 1,920.32, 2,882.40 and 1,492.16

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Solution

The fourth proportional to 1,920.32, 2,882.40 and 1,492.16 is: 2,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.32 : 2,882.40 = 1,492.16 : x
  2. Step 2: Convert to fraction form
    1,920.32/2,882.40 = 1,492.16/x
  3. Step 3: Cross multiply
    1,920.32x = 2,882.40 × 1,492.16
  4. Step 4: Simplify right side
    1,920.32x = 4,301,001.98
  5. Step 5: Solve for x
    x = 4,301,001.98/1,920.32
  6. Step 6: Final answer
    x = 2,239.73

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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.