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Finding the Fourth Proportional to 3,057.78, 4,585.72 and 1,302.76

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Solution

The fourth proportional to 3,057.78, 4,585.72 and 1,302.76 is: 1,953.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.78 : 4,585.72 = 1,302.76 : x
  2. Step 2: Convert to fraction form
    3,057.78/4,585.72 = 1,302.76/x
  3. Step 3: Cross multiply
    3,057.78x = 4,585.72 × 1,302.76
  4. Step 4: Simplify right side
    3,057.78x = 5,974,092.59
  5. Step 5: Solve for x
    x = 5,974,092.59/3,057.78
  6. Step 6: Final answer
    x = 1,953.74

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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.