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Finding the Fourth Proportional to 1,567.49, 2,350.89 and 642.14

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Solution

The fourth proportional to 1,567.49, 2,350.89 and 642.14 is: 963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.49 : 2,350.89 = 642.14 : x
  2. Step 2: Convert to fraction form
    1,567.49/2,350.89 = 642.14/x
  3. Step 3: Cross multiply
    1,567.49x = 2,350.89 × 642.14
  4. Step 4: Simplify right side
    1,567.49x = 1,509,588.75
  5. Step 5: Solve for x
    x = 1,509,588.75/1,567.49
  6. Step 6: Final answer
    x = 963.06

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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.