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Finding the Fourth Proportional to 2,155.86, 2,974.05 and 1,535.22

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Solution

The fourth proportional to 2,155.86, 2,974.05 and 1,535.22 is: 2,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.86 : 2,974.05 = 1,535.22 : x
  2. Step 2: Convert to fraction form
    2,155.86/2,974.05 = 1,535.22/x
  3. Step 3: Cross multiply
    2,155.86x = 2,974.05 × 1,535.22
  4. Step 4: Simplify right side
    2,155.86x = 4,565,821.04
  5. Step 5: Solve for x
    x = 4,565,821.04/2,155.86
  6. Step 6: Final answer
    x = 2,117.87

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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.