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Finding the Fourth Proportional to 1,589.76, 2,192.76 and 1,536.24

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Solution

The fourth proportional to 1,589.76, 2,192.76 and 1,536.24 is: 2,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.76 : 2,192.76 = 1,536.24 : x
  2. Step 2: Convert to fraction form
    1,589.76/2,192.76 = 1,536.24/x
  3. Step 3: Cross multiply
    1,589.76x = 2,192.76 × 1,536.24
  4. Step 4: Simplify right side
    1,589.76x = 3,368,605.62
  5. Step 5: Solve for x
    x = 3,368,605.62/1,589.76
  6. Step 6: Final answer
    x = 2,118.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.