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Finding the Fourth Proportional to 2,461.68, 3,397.01 and 1,342.60

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Solution

The fourth proportional to 2,461.68, 3,397.01 and 1,342.60 is: 1,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.68 : 3,397.01 = 1,342.60 : x
  2. Step 2: Convert to fraction form
    2,461.68/3,397.01 = 1,342.60/x
  3. Step 3: Cross multiply
    2,461.68x = 3,397.01 × 1,342.60
  4. Step 4: Simplify right side
    2,461.68x = 4,560,808.64
  5. Step 5: Solve for x
    x = 4,560,808.64/2,461.68
  6. Step 6: Final answer
    x = 1,852.72

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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.