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Finding the Fourth Proportional to 2,039.01, 2,813.80 and 1,242.15

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Solution

The fourth proportional to 2,039.01, 2,813.80 and 1,242.15 is: 1,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.01 : 2,813.80 = 1,242.15 : x
  2. Step 2: Convert to fraction form
    2,039.01/2,813.80 = 1,242.15/x
  3. Step 3: Cross multiply
    2,039.01x = 2,813.80 × 1,242.15
  4. Step 4: Simplify right side
    2,039.01x = 3,495,161.67
  5. Step 5: Solve for x
    x = 3,495,161.67/2,039.01
  6. Step 6: Final answer
    x = 1,714.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.