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Finding the Fourth Proportional to 1,567.61, 2,163.29 and 859.46

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Solution

The fourth proportional to 1,567.61, 2,163.29 and 859.46 is: 1,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.61 : 2,163.29 = 859.46 : x
  2. Step 2: Convert to fraction form
    1,567.61/2,163.29 = 859.46/x
  3. Step 3: Cross multiply
    1,567.61x = 2,163.29 × 859.46
  4. Step 4: Simplify right side
    1,567.61x = 1,859,246.11
  5. Step 5: Solve for x
    x = 1,859,246.11/1,567.61
  6. Step 6: Final answer
    x = 1,186.04

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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.