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Finding the Fourth Proportional to 2,420.48, 3,340.16 and 1,358.24

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Solution

The fourth proportional to 2,420.48, 3,340.16 and 1,358.24 is: 1,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.48 : 3,340.16 = 1,358.24 : x
  2. Step 2: Convert to fraction form
    2,420.48/3,340.16 = 1,358.24/x
  3. Step 3: Cross multiply
    2,420.48x = 3,340.16 × 1,358.24
  4. Step 4: Simplify right side
    2,420.48x = 4,536,738.92
  5. Step 5: Solve for x
    x = 4,536,738.92/2,420.48
  6. Step 6: Final answer
    x = 1,874.31

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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.