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Finding the Fourth Proportional to 1,560, 2,152.83 and 861.36

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Solution

The fourth proportional to 1,560, 2,152.83 and 861.36 is: 1,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560 : 2,152.83 = 861.36 : x
  2. Step 2: Convert to fraction form
    1,560/2,152.83 = 861.36/x
  3. Step 3: Cross multiply
    1,560x = 2,152.83 × 861.36
  4. Step 4: Simplify right side
    1,560x = 1,854,361.65
  5. Step 5: Solve for x
    x = 1,854,361.65/1,560
  6. Step 6: Final answer
    x = 1,188.69

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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.