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Finding the Fourth Proportional to 2,503.96, 3,753.82 and 1,530.74

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Solution

The fourth proportional to 2,503.96, 3,753.82 and 1,530.74 is: 2,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.96 : 3,753.82 = 1,530.74 : x
  2. Step 2: Convert to fraction form
    2,503.96/3,753.82 = 1,530.74/x
  3. Step 3: Cross multiply
    2,503.96x = 3,753.82 × 1,530.74
  4. Step 4: Simplify right side
    2,503.96x = 5,746,122.43
  5. Step 5: Solve for x
    x = 5,746,122.43/2,503.96
  6. Step 6: Final answer
    x = 2,294.81

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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.