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Finding the Fourth Proportional to 2,197.60, 3,293.08 and 964.32

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Solution

The fourth proportional to 2,197.60, 3,293.08 and 964.32 is: 1,445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.60 : 3,293.08 = 964.32 : x
  2. Step 2: Convert to fraction form
    2,197.60/3,293.08 = 964.32/x
  3. Step 3: Cross multiply
    2,197.60x = 3,293.08 × 964.32
  4. Step 4: Simplify right side
    2,197.60x = 3,175,582.91
  5. Step 5: Solve for x
    x = 3,175,582.91/2,197.60
  6. Step 6: Final answer
    x = 1,445.02

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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.