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Finding the Fourth Proportional to 2,113.86, 2,917.71 and 1,452.36

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Solution

The fourth proportional to 2,113.86, 2,917.71 and 1,452.36 is: 2,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.86 : 2,917.71 = 1,452.36 : x
  2. Step 2: Convert to fraction form
    2,113.86/2,917.71 = 1,452.36/x
  3. Step 3: Cross multiply
    2,113.86x = 2,917.71 × 1,452.36
  4. Step 4: Simplify right side
    2,113.86x = 4,237,565.30
  5. Step 5: Solve for x
    x = 4,237,565.30/2,113.86
  6. Step 6: Final answer
    x = 2,004.66

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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.