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Finding the Fourth Proportional to 3,056.64, 4,585.20 and 865.39

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Solution

The fourth proportional to 3,056.64, 4,585.20 and 865.39 is: 1,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.64 : 4,585.20 = 865.39 : x
  2. Step 2: Convert to fraction form
    3,056.64/4,585.20 = 865.39/x
  3. Step 3: Cross multiply
    3,056.64x = 4,585.20 × 865.39
  4. Step 4: Simplify right side
    3,056.64x = 3,967,986.23
  5. Step 5: Solve for x
    x = 3,967,986.23/3,056.64
  6. Step 6: Final answer
    x = 1,298.15

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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.