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Finding the Fourth Proportional to 2,324.64, 3,488.40 and 2,085.60

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Solution

The fourth proportional to 2,324.64, 3,488.40 and 2,085.60 is: 3,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.64 : 3,488.40 = 2,085.60 : x
  2. Step 2: Convert to fraction form
    2,324.64/3,488.40 = 2,085.60/x
  3. Step 3: Cross multiply
    2,324.64x = 3,488.40 × 2,085.60
  4. Step 4: Simplify right side
    2,324.64x = 7,275,407.04
  5. Step 5: Solve for x
    x = 7,275,407.04/2,324.64
  6. Step 6: Final answer
    x = 3,129.69

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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.