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Finding the Fourth Proportional to 1,616.79, 2,230.10 and 1,493.76

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Solution

The fourth proportional to 1,616.79, 2,230.10 and 1,493.76 is: 2,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.79 : 2,230.10 = 1,493.76 : x
  2. Step 2: Convert to fraction form
    1,616.79/2,230.10 = 1,493.76/x
  3. Step 3: Cross multiply
    1,616.79x = 2,230.10 × 1,493.76
  4. Step 4: Simplify right side
    1,616.79x = 3,331,215.56
  5. Step 5: Solve for x
    x = 3,331,215.56/1,616.79
  6. Step 6: Final answer
    x = 2,060.39

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1.5x scale

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.