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Finding the Fourth Proportional to 1,611.66, 2,417.49 and 1,125.66

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Solution

The fourth proportional to 1,611.66, 2,417.49 and 1,125.66 is: 1,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.66 : 2,417.49 = 1,125.66 : x
  2. Step 2: Convert to fraction form
    1,611.66/2,417.49 = 1,125.66/x
  3. Step 3: Cross multiply
    1,611.66x = 2,417.49 × 1,125.66
  4. Step 4: Simplify right side
    1,611.66x = 2,721,271.79
  5. Step 5: Solve for x
    x = 2,721,271.79/1,611.66
  6. Step 6: Final answer
    x = 1,688.49

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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.