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Finding the Fourth Proportional to 1,560.84, 2,339.16 and 867.84

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Solution

The fourth proportional to 1,560.84, 2,339.16 and 867.84 is: 1,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.84 : 2,339.16 = 867.84 : x
  2. Step 2: Convert to fraction form
    1,560.84/2,339.16 = 867.84/x
  3. Step 3: Cross multiply
    1,560.84x = 2,339.16 × 867.84
  4. Step 4: Simplify right side
    1,560.84x = 2,030,016.61
  5. Step 5: Solve for x
    x = 2,030,016.61/1,560.84
  6. Step 6: Final answer
    x = 1,300.59

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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.