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Finding the Fourth Proportional to 1,753.30, 2,419.56 and 956.62

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Solution

The fourth proportional to 1,753.30, 2,419.56 and 956.62 is: 1,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.30 : 2,419.56 = 956.62 : x
  2. Step 2: Convert to fraction form
    1,753.30/2,419.56 = 956.62/x
  3. Step 3: Cross multiply
    1,753.30x = 2,419.56 × 956.62
  4. Step 4: Simplify right side
    1,753.30x = 2,314,599.49
  5. Step 5: Solve for x
    x = 2,314,599.49/1,753.30
  6. Step 6: Final answer
    x = 1,320.14

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Why These Related Problems?

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