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Finding the Fourth Proportional to 1,696.40, 2,545.08 and 1,003.68

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Solution

The fourth proportional to 1,696.40, 2,545.08 and 1,003.68 is: 1,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.40 : 2,545.08 = 1,003.68 : x
  2. Step 2: Convert to fraction form
    1,696.40/2,545.08 = 1,003.68/x
  3. Step 3: Cross multiply
    1,696.40x = 2,545.08 × 1,003.68
  4. Step 4: Simplify right side
    1,696.40x = 2,554,445.89
  5. Step 5: Solve for x
    x = 2,554,445.89/1,696.40
  6. Step 6: Final answer
    x = 1,505.80

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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.