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Finding the Fourth Proportional to 2,461.97, 3,397.47 and 1,342.93

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Solution

The fourth proportional to 2,461.97, 3,397.47 and 1,342.93 is: 1,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.97 : 3,397.47 = 1,342.93 : x
  2. Step 2: Convert to fraction form
    2,461.97/3,397.47 = 1,342.93/x
  3. Step 3: Cross multiply
    2,461.97x = 3,397.47 × 1,342.93
  4. Step 4: Simplify right side
    2,461.97x = 4,562,564.39
  5. Step 5: Solve for x
    x = 4,562,564.39/2,461.97
  6. Step 6: Final answer
    x = 1,853.22

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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.