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Finding the Fourth Proportional to 2,149.50, 2,967.73 and 1,488.39

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Solution

The fourth proportional to 2,149.50, 2,967.73 and 1,488.39 is: 2,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.50 : 2,967.73 = 1,488.39 : x
  2. Step 2: Convert to fraction form
    2,149.50/2,967.73 = 1,488.39/x
  3. Step 3: Cross multiply
    2,149.50x = 2,967.73 × 1,488.39
  4. Step 4: Simplify right side
    2,149.50x = 4,417,139.65
  5. Step 5: Solve for x
    x = 4,417,139.65/2,149.50
  6. Step 6: Final answer
    x = 2,054.96

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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.