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Finding the Fourth Proportional to 2,839.32, 4,256.25 and 891.07

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Solution

The fourth proportional to 2,839.32, 4,256.25 and 891.07 is: 1,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.32 : 4,256.25 = 891.07 : x
  2. Step 2: Convert to fraction form
    2,839.32/4,256.25 = 891.07/x
  3. Step 3: Cross multiply
    2,839.32x = 4,256.25 × 891.07
  4. Step 4: Simplify right side
    2,839.32x = 3,792,602.71
  5. Step 5: Solve for x
    x = 3,792,602.71/2,839.32
  6. Step 6: Final answer
    x = 1,335.74

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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.