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Finding the Fourth Proportional to 2,482.57, 3,425.34 and 1,488.25

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Solution

The fourth proportional to 2,482.57, 3,425.34 and 1,488.25 is: 2,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.57 : 3,425.34 = 1,488.25 : x
  2. Step 2: Convert to fraction form
    2,482.57/3,425.34 = 1,488.25/x
  3. Step 3: Cross multiply
    2,482.57x = 3,425.34 × 1,488.25
  4. Step 4: Simplify right side
    2,482.57x = 5,097,762.26
  5. Step 5: Solve for x
    x = 5,097,762.26/2,482.57
  6. Step 6: Final answer
    x = 2,053.42

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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.