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Finding the Fourth Proportional to 1,567.12, 2,351.33 and 836.50

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Solution

The fourth proportional to 1,567.12, 2,351.33 and 836.50 is: 1,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.12 : 2,351.33 = 836.50 : x
  2. Step 2: Convert to fraction form
    1,567.12/2,351.33 = 836.50/x
  3. Step 3: Cross multiply
    1,567.12x = 2,351.33 × 836.50
  4. Step 4: Simplify right side
    1,567.12x = 1,966,887.55
  5. Step 5: Solve for x
    x = 1,966,887.55/1,567.12
  6. Step 6: Final answer
    x = 1,255.10

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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.