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Finding the Fourth Proportional to 2,488.72, 3,724.80 and 1,706.80

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Solution

The fourth proportional to 2,488.72, 3,724.80 and 1,706.80 is: 2,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.72 : 3,724.80 = 1,706.80 : x
  2. Step 2: Convert to fraction form
    2,488.72/3,724.80 = 1,706.80/x
  3. Step 3: Cross multiply
    2,488.72x = 3,724.80 × 1,706.80
  4. Step 4: Simplify right side
    2,488.72x = 6,357,488.64
  5. Step 5: Solve for x
    x = 6,357,488.64/2,488.72
  6. Step 6: Final answer
    x = 2,554.52

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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.