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Finding the Fourth Proportional to 1,696.57, 2,545.62 and 1,004.59

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Solution

The fourth proportional to 1,696.57, 2,545.62 and 1,004.59 is: 1,507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.57 : 2,545.62 = 1,004.59 : x
  2. Step 2: Convert to fraction form
    1,696.57/2,545.62 = 1,004.59/x
  3. Step 3: Cross multiply
    1,696.57x = 2,545.62 × 1,004.59
  4. Step 4: Simplify right side
    1,696.57x = 2,557,304.40
  5. Step 5: Solve for x
    x = 2,557,304.40/1,696.57
  6. Step 6: Final answer
    x = 1,507.34

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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.