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Finding the Fourth Proportional to 1,565.99, 2,161.31 and 893.79

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Solution

The fourth proportional to 1,565.99, 2,161.31 and 893.79 is: 1,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.99 : 2,161.31 = 893.79 : x
  2. Step 2: Convert to fraction form
    1,565.99/2,161.31 = 893.79/x
  3. Step 3: Cross multiply
    1,565.99x = 2,161.31 × 893.79
  4. Step 4: Simplify right side
    1,565.99x = 1,931,756.85
  5. Step 5: Solve for x
    x = 1,931,756.85/1,565.99
  6. Step 6: Final answer
    x = 1,233.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.