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Finding the Fourth Proportional to 1,743.09, 2,613.28 and 572.36

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Solution

The fourth proportional to 1,743.09, 2,613.28 and 572.36 is: 858.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.09 : 2,613.28 = 572.36 : x
  2. Step 2: Convert to fraction form
    1,743.09/2,613.28 = 572.36/x
  3. Step 3: Cross multiply
    1,743.09x = 2,613.28 × 572.36
  4. Step 4: Simplify right side
    1,743.09x = 1,495,722.44
  5. Step 5: Solve for x
    x = 1,495,722.44/1,743.09
  6. Step 6: Final answer
    x = 858.09

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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.