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Finding the Fourth Proportional to 3,056.55, 4,585.59 and 865.23

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Solution

The fourth proportional to 3,056.55, 4,585.59 and 865.23 is: 1,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.55 : 4,585.59 = 865.23 : x
  2. Step 2: Convert to fraction form
    3,056.55/4,585.59 = 865.23/x
  3. Step 3: Cross multiply
    3,056.55x = 4,585.59 × 865.23
  4. Step 4: Simplify right side
    3,056.55x = 3,967,590.04
  5. Step 5: Solve for x
    x = 3,967,590.04/3,056.55
  6. Step 6: Final answer
    x = 1,298.06

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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.