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Finding the Fourth Proportional to 1,610.61, 2,417.06 and 686.41

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Solution

The fourth proportional to 1,610.61, 2,417.06 and 686.41 is: 1,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.61 : 2,417.06 = 686.41 : x
  2. Step 2: Convert to fraction form
    1,610.61/2,417.06 = 686.41/x
  3. Step 3: Cross multiply
    1,610.61x = 2,417.06 × 686.41
  4. Step 4: Simplify right side
    1,610.61x = 1,659,094.15
  5. Step 5: Solve for x
    x = 1,659,094.15/1,610.61
  6. Step 6: Final answer
    x = 1,030.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.