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Finding the Fourth Proportional to 1,567.90, 2,352.12 and 643.42

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Solution

The fourth proportional to 1,567.90, 2,352.12 and 643.42 is: 965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.90 : 2,352.12 = 643.42 : x
  2. Step 2: Convert to fraction form
    1,567.90/2,352.12 = 643.42/x
  3. Step 3: Cross multiply
    1,567.90x = 2,352.12 × 643.42
  4. Step 4: Simplify right side
    1,567.90x = 1,513,401.05
  5. Step 5: Solve for x
    x = 1,513,401.05/1,567.90
  6. Step 6: Final answer
    x = 965.24

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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.