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Finding the Fourth Proportional to 2,470.37, 3,704.91 and 714.96

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Solution

The fourth proportional to 2,470.37, 3,704.91 and 714.96 is: 1,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.37 : 3,704.91 = 714.96 : x
  2. Step 2: Convert to fraction form
    2,470.37/3,704.91 = 714.96/x
  3. Step 3: Cross multiply
    2,470.37x = 3,704.91 × 714.96
  4. Step 4: Simplify right side
    2,470.37x = 2,648,862.45
  5. Step 5: Solve for x
    x = 2,648,862.45/2,470.37
  6. Step 6: Final answer
    x = 1,072.26

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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.