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Finding the Fourth Proportional to 1,452.86, 2,002.83 and 1,102.94

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Solution

The fourth proportional to 1,452.86, 2,002.83 and 1,102.94 is: 1,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.86 : 2,002.83 = 1,102.94 : x
  2. Step 2: Convert to fraction form
    1,452.86/2,002.83 = 1,102.94/x
  3. Step 3: Cross multiply
    1,452.86x = 2,002.83 × 1,102.94
  4. Step 4: Simplify right side
    1,452.86x = 2,209,001.32
  5. Step 5: Solve for x
    x = 2,209,001.32/1,452.86
  6. Step 6: Final answer
    x = 1,520.45

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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.