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Finding the Fourth Proportional to 1,782.01, 2,456.92 and 1,151.47

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Solution

The fourth proportional to 1,782.01, 2,456.92 and 1,151.47 is: 1,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.01 : 2,456.92 = 1,151.47 : x
  2. Step 2: Convert to fraction form
    1,782.01/2,456.92 = 1,151.47/x
  3. Step 3: Cross multiply
    1,782.01x = 2,456.92 × 1,151.47
  4. Step 4: Simplify right side
    1,782.01x = 2,829,069.67
  5. Step 5: Solve for x
    x = 2,829,069.67/1,782.01
  6. Step 6: Final answer
    x = 1,587.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.