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Finding the Fourth Proportional to 2,312.48, 3,468.24 and 1,080.47

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Solution

The fourth proportional to 2,312.48, 3,468.24 and 1,080.47 is: 1,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.48 : 3,468.24 = 1,080.47 : x
  2. Step 2: Convert to fraction form
    2,312.48/3,468.24 = 1,080.47/x
  3. Step 3: Cross multiply
    2,312.48x = 3,468.24 × 1,080.47
  4. Step 4: Simplify right side
    2,312.48x = 3,747,337.94
  5. Step 5: Solve for x
    x = 3,747,337.94/2,312.48
  6. Step 6: Final answer
    x = 1,620.48

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1.5x scale

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.