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Finding the Fourth Proportional to 2,461.60, 3,397.73 and 1,610.98

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Solution

The fourth proportional to 2,461.60, 3,397.73 and 1,610.98 is: 2,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.60 : 3,397.73 = 1,610.98 : x
  2. Step 2: Convert to fraction form
    2,461.60/3,397.73 = 1,610.98/x
  3. Step 3: Cross multiply
    2,461.60x = 3,397.73 × 1,610.98
  4. Step 4: Simplify right side
    2,461.60x = 5,473,675.08
  5. Step 5: Solve for x
    x = 5,473,675.08/2,461.60
  6. Step 6: Final answer
    x = 2,223.62

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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.