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Finding the Fourth Proportional to 2,125.67, 3,189.15 and 1,030.10

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Solution

The fourth proportional to 2,125.67, 3,189.15 and 1,030.10 is: 1,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.67 : 3,189.15 = 1,030.10 : x
  2. Step 2: Convert to fraction form
    2,125.67/3,189.15 = 1,030.10/x
  3. Step 3: Cross multiply
    2,125.67x = 3,189.15 × 1,030.10
  4. Step 4: Simplify right side
    2,125.67x = 3,285,143.42
  5. Step 5: Solve for x
    x = 3,285,143.42/2,125.67
  6. Step 6: Final answer
    x = 1,545.46

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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.