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Finding the Fourth Proportional to 1,568, 2,349.12 and 1,018.88

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Solution

The fourth proportional to 1,568, 2,349.12 and 1,018.88 is: 1,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568 : 2,349.12 = 1,018.88 : x
  2. Step 2: Convert to fraction form
    1,568/2,349.12 = 1,018.88/x
  3. Step 3: Cross multiply
    1,568x = 2,349.12 × 1,018.88
  4. Step 4: Simplify right side
    1,568x = 2,393,471.39
  5. Step 5: Solve for x
    x = 2,393,471.39/1,568
  6. Step 6: Final answer
    x = 1,526.45

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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.