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Finding the Fourth Proportional to 2,479.71, 3,424.29 and 1,597.05

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Solution

The fourth proportional to 2,479.71, 3,424.29 and 1,597.05 is: 2,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.71 : 3,424.29 = 1,597.05 : x
  2. Step 2: Convert to fraction form
    2,479.71/3,424.29 = 1,597.05/x
  3. Step 3: Cross multiply
    2,479.71x = 3,424.29 × 1,597.05
  4. Step 4: Simplify right side
    2,479.71x = 5,468,762.34
  5. Step 5: Solve for x
    x = 5,468,762.34/2,479.71
  6. Step 6: Final answer
    x = 2,205.40

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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.