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Finding the Fourth Proportional to 2,146.22, 2,962.17 and 1,558.47

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Solution

The fourth proportional to 2,146.22, 2,962.17 and 1,558.47 is: 2,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.22 : 2,962.17 = 1,558.47 : x
  2. Step 2: Convert to fraction form
    2,146.22/2,962.17 = 1,558.47/x
  3. Step 3: Cross multiply
    2,146.22x = 2,962.17 × 1,558.47
  4. Step 4: Simplify right side
    2,146.22x = 4,616,436.13
  5. Step 5: Solve for x
    x = 4,616,436.13/2,146.22
  6. Step 6: Final answer
    x = 2,150.96

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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.