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Finding the Fourth Proportional to 2,597.75, 3,584.48 and 1,478.71

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Solution

The fourth proportional to 2,597.75, 3,584.48 and 1,478.71 is: 2,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.75 : 3,584.48 = 1,478.71 : x
  2. Step 2: Convert to fraction form
    2,597.75/3,584.48 = 1,478.71/x
  3. Step 3: Cross multiply
    2,597.75x = 3,584.48 × 1,478.71
  4. Step 4: Simplify right side
    2,597.75x = 5,300,411.83
  5. Step 5: Solve for x
    x = 5,300,411.83/2,597.75
  6. Step 6: Final answer
    x = 2,040.38

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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.