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Finding the Fourth Proportional to 2,323.74, 3,486.16 and 763.82

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Solution

The fourth proportional to 2,323.74, 3,486.16 and 763.82 is: 1,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.74 : 3,486.16 = 763.82 : x
  2. Step 2: Convert to fraction form
    2,323.74/3,486.16 = 763.82/x
  3. Step 3: Cross multiply
    2,323.74x = 3,486.16 × 763.82
  4. Step 4: Simplify right side
    2,323.74x = 2,662,798.73
  5. Step 5: Solve for x
    x = 2,662,798.73/2,323.74
  6. Step 6: Final answer
    x = 1,145.91

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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.