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Finding the Fourth Proportional to 1,294.76, 1,931.08 and 1,101.02

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Solution

The fourth proportional to 1,294.76, 1,931.08 and 1,101.02 is: 1,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.76 : 1,931.08 = 1,101.02 : x
  2. Step 2: Convert to fraction form
    1,294.76/1,931.08 = 1,101.02/x
  3. Step 3: Cross multiply
    1,294.76x = 1,931.08 × 1,101.02
  4. Step 4: Simplify right side
    1,294.76x = 2,126,157.70
  5. Step 5: Solve for x
    x = 2,126,157.70/1,294.76
  6. Step 6: Final answer
    x = 1,642.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.