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Finding the Fourth Proportional to 2,472.64, 3,412.30 and 1,478.96

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Solution

The fourth proportional to 2,472.64, 3,412.30 and 1,478.96 is: 2,041.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.64 : 3,412.30 = 1,478.96 : x
  2. Step 2: Convert to fraction form
    2,472.64/3,412.30 = 1,478.96/x
  3. Step 3: Cross multiply
    2,472.64x = 3,412.30 × 1,478.96
  4. Step 4: Simplify right side
    2,472.64x = 5,046,655.21
  5. Step 5: Solve for x
    x = 5,046,655.21/2,472.64
  6. Step 6: Final answer
    x = 2,041.00

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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.