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Finding the Fourth Proportional to 2,116.86, 3,170.79 and 1,703.76

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Solution

The fourth proportional to 2,116.86, 3,170.79 and 1,703.76 is: 2,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.86 : 3,170.79 = 1,703.76 : x
  2. Step 2: Convert to fraction form
    2,116.86/3,170.79 = 1,703.76/x
  3. Step 3: Cross multiply
    2,116.86x = 3,170.79 × 1,703.76
  4. Step 4: Simplify right side
    2,116.86x = 5,402,265.17
  5. Step 5: Solve for x
    x = 5,402,265.17/2,116.86
  6. Step 6: Final answer
    x = 2,552.02

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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.