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Finding the Fourth Proportional to 2,497.93, 3,746.99 and 937.78

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Solution

The fourth proportional to 2,497.93, 3,746.99 and 937.78 is: 1,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.93 : 3,746.99 = 937.78 : x
  2. Step 2: Convert to fraction form
    2,497.93/3,746.99 = 937.78/x
  3. Step 3: Cross multiply
    2,497.93x = 3,746.99 × 937.78
  4. Step 4: Simplify right side
    2,497.93x = 3,513,852.28
  5. Step 5: Solve for x
    x = 3,513,852.28/2,497.93
  6. Step 6: Final answer
    x = 1,406.71

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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.