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Finding the Fourth Proportional to 2,854.53, 4,283.28 and 1,295.64

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Solution

The fourth proportional to 2,854.53, 4,283.28 and 1,295.64 is: 1,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.53 : 4,283.28 = 1,295.64 : x
  2. Step 2: Convert to fraction form
    2,854.53/4,283.28 = 1,295.64/x
  3. Step 3: Cross multiply
    2,854.53x = 4,283.28 × 1,295.64
  4. Step 4: Simplify right side
    2,854.53x = 5,549,588.90
  5. Step 5: Solve for x
    x = 5,549,588.90/2,854.53
  6. Step 6: Final answer
    x = 1,944.13

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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.