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Finding the Fourth Proportional to 2,437.40, 3,655.92 and 794.72

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Solution

The fourth proportional to 2,437.40, 3,655.92 and 794.72 is: 1,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.40 : 3,655.92 = 794.72 : x
  2. Step 2: Convert to fraction form
    2,437.40/3,655.92 = 794.72/x
  3. Step 3: Cross multiply
    2,437.40x = 3,655.92 × 794.72
  4. Step 4: Simplify right side
    2,437.40x = 2,905,432.74
  5. Step 5: Solve for x
    x = 2,905,432.74/2,437.40
  6. Step 6: Final answer
    x = 1,192.02

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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.