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Finding the Fourth Proportional to 2,116.78, 2,920.76 and 1,232.86

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Solution

The fourth proportional to 2,116.78, 2,920.76 and 1,232.86 is: 1,701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.78 : 2,920.76 = 1,232.86 : x
  2. Step 2: Convert to fraction form
    2,116.78/2,920.76 = 1,232.86/x
  3. Step 3: Cross multiply
    2,116.78x = 2,920.76 × 1,232.86
  4. Step 4: Simplify right side
    2,116.78x = 3,600,888.17
  5. Step 5: Solve for x
    x = 3,600,888.17/2,116.78
  6. Step 6: Final answer
    x = 1,701.12

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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.