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Finding the Fourth Proportional to 2,595.76, 3,894.49 and 1,114.29

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Solution

The fourth proportional to 2,595.76, 3,894.49 and 1,114.29 is: 1,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.76 : 3,894.49 = 1,114.29 : x
  2. Step 2: Convert to fraction form
    2,595.76/3,894.49 = 1,114.29/x
  3. Step 3: Cross multiply
    2,595.76x = 3,894.49 × 1,114.29
  4. Step 4: Simplify right side
    2,595.76x = 4,339,591.26
  5. Step 5: Solve for x
    x = 4,339,591.26/2,595.76
  6. Step 6: Final answer
    x = 1,671.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.