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Finding the Fourth Proportional to 2,203.71, 3,041.01 and 1,616.73

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Solution

The fourth proportional to 2,203.71, 3,041.01 and 1,616.73 is: 2,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.71 : 3,041.01 = 1,616.73 : x
  2. Step 2: Convert to fraction form
    2,203.71/3,041.01 = 1,616.73/x
  3. Step 3: Cross multiply
    2,203.71x = 3,041.01 × 1,616.73
  4. Step 4: Simplify right side
    2,203.71x = 4,916,492.10
  5. Step 5: Solve for x
    x = 4,916,492.10/2,203.71
  6. Step 6: Final answer
    x = 2,231.01

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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.