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Finding the Fourth Proportional to 2,062.67, 2,846.84 and 1,564.47

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Solution

The fourth proportional to 2,062.67, 2,846.84 and 1,564.47 is: 2,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.67 : 2,846.84 = 1,564.47 : x
  2. Step 2: Convert to fraction form
    2,062.67/2,846.84 = 1,564.47/x
  3. Step 3: Cross multiply
    2,062.67x = 2,846.84 × 1,564.47
  4. Step 4: Simplify right side
    2,062.67x = 4,453,787.95
  5. Step 5: Solve for x
    x = 4,453,787.95/2,062.67
  6. Step 6: Final answer
    x = 2,159.24

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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.