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Finding the Fourth Proportional to 2,497.86, 3,747.02 and 648.95

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Solution

The fourth proportional to 2,497.86, 3,747.02 and 648.95 is: 973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.86 : 3,747.02 = 648.95 : x
  2. Step 2: Convert to fraction form
    2,497.86/3,747.02 = 648.95/x
  3. Step 3: Cross multiply
    2,497.86x = 3,747.02 × 648.95
  4. Step 4: Simplify right side
    2,497.86x = 2,431,606.65
  5. Step 5: Solve for x
    x = 2,431,606.65/2,497.86
  6. Step 6: Final answer
    x = 973.48

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1.5x scale

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.