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Finding the Fourth Proportional to 2,470.24, 3,408.88 and 1,366.24

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Solution

The fourth proportional to 2,470.24, 3,408.88 and 1,366.24 is: 1,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.24 : 3,408.88 = 1,366.24 : x
  2. Step 2: Convert to fraction form
    2,470.24/3,408.88 = 1,366.24/x
  3. Step 3: Cross multiply
    2,470.24x = 3,408.88 × 1,366.24
  4. Step 4: Simplify right side
    2,470.24x = 4,657,348.21
  5. Step 5: Solve for x
    x = 4,657,348.21/2,470.24
  6. Step 6: Final answer
    x = 1,885.38

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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.