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Finding the Fourth Proportional to 1,917.93, 2,862.90 and 1,645.77

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Solution

The fourth proportional to 1,917.93, 2,862.90 and 1,645.77 is: 2,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.93 : 2,862.90 = 1,645.77 : x
  2. Step 2: Convert to fraction form
    1,917.93/2,862.90 = 1,645.77/x
  3. Step 3: Cross multiply
    1,917.93x = 2,862.90 × 1,645.77
  4. Step 4: Simplify right side
    1,917.93x = 4,711,684.13
  5. Step 5: Solve for x
    x = 4,711,684.13/1,917.93
  6. Step 6: Final answer
    x = 2,456.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.