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Finding the Fourth Proportional to 2,465.87, 3,698.24 and 710.48

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Solution

The fourth proportional to 2,465.87, 3,698.24 and 710.48 is: 1,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.87 : 3,698.24 = 710.48 : x
  2. Step 2: Convert to fraction form
    2,465.87/3,698.24 = 710.48/x
  3. Step 3: Cross multiply
    2,465.87x = 3,698.24 × 710.48
  4. Step 4: Simplify right side
    2,465.87x = 2,627,516.44
  5. Step 5: Solve for x
    x = 2,627,516.44/2,465.87
  6. Step 6: Final answer
    x = 1,065.56

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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.