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Finding the Fourth Proportional to 2,146.52, 2,962.17 and 1,202.35

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Solution

The fourth proportional to 2,146.52, 2,962.17 and 1,202.35 is: 1,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.52 : 2,962.17 = 1,202.35 : x
  2. Step 2: Convert to fraction form
    2,146.52/2,962.17 = 1,202.35/x
  3. Step 3: Cross multiply
    2,146.52x = 2,962.17 × 1,202.35
  4. Step 4: Simplify right side
    2,146.52x = 3,561,547.28
  5. Step 5: Solve for x
    x = 3,561,547.28/2,146.52
  6. Step 6: Final answer
    x = 1,659.22

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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.