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Finding the Fourth Proportional to 1,782.47, 2,671.34 and 1,290.52

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Solution

The fourth proportional to 1,782.47, 2,671.34 and 1,290.52 is: 1,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.47 : 2,671.34 = 1,290.52 : x
  2. Step 2: Convert to fraction form
    1,782.47/2,671.34 = 1,290.52/x
  3. Step 3: Cross multiply
    1,782.47x = 2,671.34 × 1,290.52
  4. Step 4: Simplify right side
    1,782.47x = 3,447,414.24
  5. Step 5: Solve for x
    x = 3,447,414.24/1,782.47
  6. Step 6: Final answer
    x = 1,934.07

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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.