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Finding the Fourth Proportional to 2,115.77, 2,920.48 and 1,232.31

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Solution

The fourth proportional to 2,115.77, 2,920.48 and 1,232.31 is: 1,701.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.77 : 2,920.48 = 1,232.31 : x
  2. Step 2: Convert to fraction form
    2,115.77/2,920.48 = 1,232.31/x
  3. Step 3: Cross multiply
    2,115.77x = 2,920.48 × 1,232.31
  4. Step 4: Simplify right side
    2,115.77x = 3,598,915.94
  5. Step 5: Solve for x
    x = 3,598,915.94/2,115.77
  6. Step 6: Final answer
    x = 1,701.00

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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.