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Finding the Fourth Proportional to 2,326.64, 3,491.40 and 2,087.60

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Solution

The fourth proportional to 2,326.64, 3,491.40 and 2,087.60 is: 3,132.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.64 : 3,491.40 = 2,087.60 : x
  2. Step 2: Convert to fraction form
    2,326.64/3,491.40 = 2,087.60/x
  3. Step 3: Cross multiply
    2,326.64x = 3,491.40 × 2,087.60
  4. Step 4: Simplify right side
    2,326.64x = 7,288,646.64
  5. Step 5: Solve for x
    x = 7,288,646.64/2,326.64
  6. Step 6: Final answer
    x = 3,132.69

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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.