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Finding the Fourth Proportional to 3,200.64, 4,417.60 and 2,153.60

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Solution

The fourth proportional to 3,200.64, 4,417.60 and 2,153.60 is: 2,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.64 : 4,417.60 = 2,153.60 : x
  2. Step 2: Convert to fraction form
    3,200.64/4,417.60 = 2,153.60/x
  3. Step 3: Cross multiply
    3,200.64x = 4,417.60 × 2,153.60
  4. Step 4: Simplify right side
    3,200.64x = 9,513,743.36
  5. Step 5: Solve for x
    x = 9,513,743.36/3,200.64
  6. Step 6: Final answer
    x = 2,972.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.