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Finding the Fourth Proportional to 2,505.52, 3,756.25 and 1,045.76

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Solution

The fourth proportional to 2,505.52, 3,756.25 and 1,045.76 is: 1,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.52 : 3,756.25 = 1,045.76 : x
  2. Step 2: Convert to fraction form
    2,505.52/3,756.25 = 1,045.76/x
  3. Step 3: Cross multiply
    2,505.52x = 3,756.25 × 1,045.76
  4. Step 4: Simplify right side
    2,505.52x = 3,928,146.70
  5. Step 5: Solve for x
    x = 3,928,146.70/2,505.52
  6. Step 6: Final answer
    x = 1,567.80

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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.