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Finding the Fourth Proportional to 1,701.40, 2,545.62 and 1,125.40

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Solution

The fourth proportional to 1,701.40, 2,545.62 and 1,125.40 is: 1,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.40 : 2,545.62 = 1,125.40 : x
  2. Step 2: Convert to fraction form
    1,701.40/2,545.62 = 1,125.40/x
  3. Step 3: Cross multiply
    1,701.40x = 2,545.62 × 1,125.40
  4. Step 4: Simplify right side
    1,701.40x = 2,864,840.75
  5. Step 5: Solve for x
    x = 2,864,840.75/1,701.40
  6. Step 6: Final answer
    x = 1,683.81

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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.