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Finding the Fourth Proportional to 2,291.84, 3,162.47 and 1,283.61

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Solution

The fourth proportional to 2,291.84, 3,162.47 and 1,283.61 is: 1,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.84 : 3,162.47 = 1,283.61 : x
  2. Step 2: Convert to fraction form
    2,291.84/3,162.47 = 1,283.61/x
  3. Step 3: Cross multiply
    2,291.84x = 3,162.47 × 1,283.61
  4. Step 4: Simplify right side
    2,291.84x = 4,059,378.12
  5. Step 5: Solve for x
    x = 4,059,378.12/2,291.84
  6. Step 6: Final answer
    x = 1,771.23

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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.