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Finding the Fourth Proportional to 1,445.86, 1,996.20 and 1,113.70

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Solution

The fourth proportional to 1,445.86, 1,996.20 and 1,113.70 is: 1,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.86 : 1,996.20 = 1,113.70 : x
  2. Step 2: Convert to fraction form
    1,445.86/1,996.20 = 1,113.70/x
  3. Step 3: Cross multiply
    1,445.86x = 1,996.20 × 1,113.70
  4. Step 4: Simplify right side
    1,445.86x = 2,223,167.94
  5. Step 5: Solve for x
    x = 2,223,167.94/1,445.86
  6. Step 6: Final answer
    x = 1,537.61

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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.