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Finding the Fourth Proportional to 1,568.24, 2,350.82 and 875.24

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Solution

The fourth proportional to 1,568.24, 2,350.82 and 875.24 is: 1,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.24 : 2,350.82 = 875.24 : x
  2. Step 2: Convert to fraction form
    1,568.24/2,350.82 = 875.24/x
  3. Step 3: Cross multiply
    1,568.24x = 2,350.82 × 875.24
  4. Step 4: Simplify right side
    1,568.24x = 2,057,530.95
  5. Step 5: Solve for x
    x = 2,057,530.95/1,568.24
  6. Step 6: Final answer
    x = 1,312.00

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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.