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Finding the Fourth Proportional to 1,703.38, 2,564.05 and 1,452.82

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Solution

The fourth proportional to 1,703.38, 2,564.05 and 1,452.82 is: 2,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.38 : 2,564.05 = 1,452.82 : x
  2. Step 2: Convert to fraction form
    1,703.38/2,564.05 = 1,452.82/x
  3. Step 3: Cross multiply
    1,703.38x = 2,564.05 × 1,452.82
  4. Step 4: Simplify right side
    1,703.38x = 3,725,103.12
  5. Step 5: Solve for x
    x = 3,725,103.12/1,703.38
  6. Step 6: Final answer
    x = 2,186.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.