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Finding the Fourth Proportional to 2,459.64, 3,663.09 and 2,445.60

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Solution

The fourth proportional to 2,459.64, 3,663.09 and 2,445.60 is: 3,642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.64 : 3,663.09 = 2,445.60 : x
  2. Step 2: Convert to fraction form
    2,459.64/3,663.09 = 2,445.60/x
  3. Step 3: Cross multiply
    2,459.64x = 3,663.09 × 2,445.60
  4. Step 4: Simplify right side
    2,459.64x = 8,958,452.90
  5. Step 5: Solve for x
    x = 8,958,452.90/2,459.64
  6. Step 6: Final answer
    x = 3,642.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.