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Finding the Fourth Proportional to 2,606.42, 3,909.54 and 875

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Solution

The fourth proportional to 2,606.42, 3,909.54 and 875 is: 1,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.42 : 3,909.54 = 875 : x
  2. Step 2: Convert to fraction form
    2,606.42/3,909.54 = 875/x
  3. Step 3: Cross multiply
    2,606.42x = 3,909.54 × 875
  4. Step 4: Simplify right side
    2,606.42x = 3,420,847.50
  5. Step 5: Solve for x
    x = 3,420,847.50/2,606.42
  6. Step 6: Final answer
    x = 1,312.47

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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.