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Finding the Fourth Proportional to 1,358.86, 2,038.29 and 872.23

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Solution

The fourth proportional to 1,358.86, 2,038.29 and 872.23 is: 1,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.86 : 2,038.29 = 872.23 : x
  2. Step 2: Convert to fraction form
    1,358.86/2,038.29 = 872.23/x
  3. Step 3: Cross multiply
    1,358.86x = 2,038.29 × 872.23
  4. Step 4: Simplify right side
    1,358.86x = 1,777,857.69
  5. Step 5: Solve for x
    x = 1,777,857.69/1,358.86
  6. Step 6: Final answer
    x = 1,308.35

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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.