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Finding the Fourth Proportional to 1,466, 2,191.07 and 1,349.25

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Solution

The fourth proportional to 1,466, 2,191.07 and 1,349.25 is: 2,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466 : 2,191.07 = 1,349.25 : x
  2. Step 2: Convert to fraction form
    1,466/2,191.07 = 1,349.25/x
  3. Step 3: Cross multiply
    1,466x = 2,191.07 × 1,349.25
  4. Step 4: Simplify right side
    1,466x = 2,956,301.20
  5. Step 5: Solve for x
    x = 2,956,301.20/1,466
  6. Step 6: Final answer
    x = 2,016.58

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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.