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Finding the Fourth Proportional to 2,437.72, 3,656.64 and 794.32

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Solution

The fourth proportional to 2,437.72, 3,656.64 and 794.32 is: 1,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.72 : 3,656.64 = 794.32 : x
  2. Step 2: Convert to fraction form
    2,437.72/3,656.64 = 794.32/x
  3. Step 3: Cross multiply
    2,437.72x = 3,656.64 × 794.32
  4. Step 4: Simplify right side
    2,437.72x = 2,904,542.28
  5. Step 5: Solve for x
    x = 2,904,542.28/2,437.72
  6. Step 6: Final answer
    x = 1,191.50

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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.