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Finding the Fourth Proportional to 2,357.61, 3,536.42 and 797.63

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Solution

The fourth proportional to 2,357.61, 3,536.42 and 797.63 is: 1,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.61 : 3,536.42 = 797.63 : x
  2. Step 2: Convert to fraction form
    2,357.61/3,536.42 = 797.63/x
  3. Step 3: Cross multiply
    2,357.61x = 3,536.42 × 797.63
  4. Step 4: Simplify right side
    2,357.61x = 2,820,754.68
  5. Step 5: Solve for x
    x = 2,820,754.68/2,357.61
  6. Step 6: Final answer
    x = 1,196.45

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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.