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Finding the Fourth Proportional to 1,925.05, 2,882.54 and 1,492.57

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Solution

The fourth proportional to 1,925.05, 2,882.54 and 1,492.57 is: 2,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.05 : 2,882.54 = 1,492.57 : x
  2. Step 2: Convert to fraction form
    1,925.05/2,882.54 = 1,492.57/x
  3. Step 3: Cross multiply
    1,925.05x = 2,882.54 × 1,492.57
  4. Step 4: Simplify right side
    1,925.05x = 4,302,385.26
  5. Step 5: Solve for x
    x = 4,302,385.26/1,925.05
  6. Step 6: Final answer
    x = 2,234.95

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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.