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Finding the Fourth Proportional to 2,497.59, 3,745.74 and 937.53

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Solution

The fourth proportional to 2,497.59, 3,745.74 and 937.53 is: 1,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.59 : 3,745.74 = 937.53 : x
  2. Step 2: Convert to fraction form
    2,497.59/3,745.74 = 937.53/x
  3. Step 3: Cross multiply
    2,497.59x = 3,745.74 × 937.53
  4. Step 4: Simplify right side
    2,497.59x = 3,511,743.62
  5. Step 5: Solve for x
    x = 3,511,743.62/2,497.59
  6. Step 6: Final answer
    x = 1,406.05

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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.