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Finding the Fourth Proportional to 1,567.14, 2,348.70 and 641.63

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Solution

The fourth proportional to 1,567.14, 2,348.70 and 641.63 is: 961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.14 : 2,348.70 = 641.63 : x
  2. Step 2: Convert to fraction form
    1,567.14/2,348.70 = 641.63/x
  3. Step 3: Cross multiply
    1,567.14x = 2,348.70 × 641.63
  4. Step 4: Simplify right side
    1,567.14x = 1,506,984.64
  5. Step 5: Solve for x
    x = 1,506,984.64/1,567.14
  6. Step 6: Final answer
    x = 961.61

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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.