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Finding the Fourth Proportional to 1,606.50, 2,411.37 and 876.69

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Solution

The fourth proportional to 1,606.50, 2,411.37 and 876.69 is: 1,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.50 : 2,411.37 = 876.69 : x
  2. Step 2: Convert to fraction form
    1,606.50/2,411.37 = 876.69/x
  3. Step 3: Cross multiply
    1,606.50x = 2,411.37 × 876.69
  4. Step 4: Simplify right side
    1,606.50x = 2,114,023.97
  5. Step 5: Solve for x
    x = 2,114,023.97/1,606.50
  6. Step 6: Final answer
    x = 1,315.92

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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.