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Finding the Fourth Proportional to 2,470.44, 3,705.82 and 2,013.48

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Solution

The fourth proportional to 2,470.44, 3,705.82 and 2,013.48 is: 3,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.44 : 3,705.82 = 2,013.48 : x
  2. Step 2: Convert to fraction form
    2,470.44/3,705.82 = 2,013.48/x
  3. Step 3: Cross multiply
    2,470.44x = 3,705.82 × 2,013.48
  4. Step 4: Simplify right side
    2,470.44x = 7,461,594.45
  5. Step 5: Solve for x
    x = 7,461,594.45/2,470.44
  6. Step 6: Final answer
    x = 3,020.35

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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.