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Finding the Fourth Proportional to 2,287.49, 3,156.79 and 1,390.92

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Solution

The fourth proportional to 2,287.49, 3,156.79 and 1,390.92 is: 1,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.49 : 3,156.79 = 1,390.92 : x
  2. Step 2: Convert to fraction form
    2,287.49/3,156.79 = 1,390.92/x
  3. Step 3: Cross multiply
    2,287.49x = 3,156.79 × 1,390.92
  4. Step 4: Simplify right side
    2,287.49x = 4,390,842.35
  5. Step 5: Solve for x
    x = 4,390,842.35/2,287.49
  6. Step 6: Final answer
    x = 1,919.50

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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.