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Finding the Fourth Proportional to 1,699.03, 2,545.80 and 969.13

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Solution

The fourth proportional to 1,699.03, 2,545.80 and 969.13 is: 1,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.03 : 2,545.80 = 969.13 : x
  2. Step 2: Convert to fraction form
    1,699.03/2,545.80 = 969.13/x
  3. Step 3: Cross multiply
    1,699.03x = 2,545.80 × 969.13
  4. Step 4: Simplify right side
    1,699.03x = 2,467,211.15
  5. Step 5: Solve for x
    x = 2,467,211.15/1,699.03
  6. Step 6: Final answer
    x = 1,452.13

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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.