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Finding the Fourth Proportional to 1,753.49, 2,419.78 and 967.53

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Solution

The fourth proportional to 1,753.49, 2,419.78 and 967.53 is: 1,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.49 : 2,419.78 = 967.53 : x
  2. Step 2: Convert to fraction form
    1,753.49/2,419.78 = 967.53/x
  3. Step 3: Cross multiply
    1,753.49x = 2,419.78 × 967.53
  4. Step 4: Simplify right side
    1,753.49x = 2,341,209.74
  5. Step 5: Solve for x
    x = 2,341,209.74/1,753.49
  6. Step 6: Final answer
    x = 1,335.17

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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.