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Finding the Fourth Proportional to 2,503.93, 3,753.77 and 1,530.72

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Solution

The fourth proportional to 2,503.93, 3,753.77 and 1,530.72 is: 2,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.93 : 3,753.77 = 1,530.72 : x
  2. Step 2: Convert to fraction form
    2,503.93/3,753.77 = 1,530.72/x
  3. Step 3: Cross multiply
    2,503.93x = 3,753.77 × 1,530.72
  4. Step 4: Simplify right side
    2,503.93x = 5,745,970.81
  5. Step 5: Solve for x
    x = 5,745,970.81/2,503.93
  6. Step 6: Final answer
    x = 2,294.78

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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.