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Finding the Fourth Proportional to 2,265.04, 3,397.56 and 967.60

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Solution

The fourth proportional to 2,265.04, 3,397.56 and 967.60 is: 1,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.04 : 3,397.56 = 967.60 : x
  2. Step 2: Convert to fraction form
    2,265.04/3,397.56 = 967.60/x
  3. Step 3: Cross multiply
    2,265.04x = 3,397.56 × 967.60
  4. Step 4: Simplify right side
    2,265.04x = 3,287,479.06
  5. Step 5: Solve for x
    x = 3,287,479.06/2,265.04
  6. Step 6: Final answer
    x = 1,451.40

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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.