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Finding the Fourth Proportional to 2,441.80, 3,662.29 and 710.02

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Solution

The fourth proportional to 2,441.80, 3,662.29 and 710.02 is: 1,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.80 : 3,662.29 = 710.02 : x
  2. Step 2: Convert to fraction form
    2,441.80/3,662.29 = 710.02/x
  3. Step 3: Cross multiply
    2,441.80x = 3,662.29 × 710.02
  4. Step 4: Simplify right side
    2,441.80x = 2,600,282.01
  5. Step 5: Solve for x
    x = 2,600,282.01/2,441.80
  6. Step 6: Final answer
    x = 1,064.91

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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.