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Finding the Fourth Proportional to 2,147.60, 2,964.12 and 1,401.68

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Solution

The fourth proportional to 2,147.60, 2,964.12 and 1,401.68 is: 1,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.60 : 2,964.12 = 1,401.68 : x
  2. Step 2: Convert to fraction form
    2,147.60/2,964.12 = 1,401.68/x
  3. Step 3: Cross multiply
    2,147.60x = 2,964.12 × 1,401.68
  4. Step 4: Simplify right side
    2,147.60x = 4,154,747.72
  5. Step 5: Solve for x
    x = 4,154,747.72/2,147.60
  6. Step 6: Final answer
    x = 1,934.60

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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.