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Finding the Fourth Proportional to 2,807.92, 3,872.64 and 2,471.08

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Solution

The fourth proportional to 2,807.92, 3,872.64 and 2,471.08 is: 3,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.92 : 3,872.64 = 2,471.08 : x
  2. Step 2: Convert to fraction form
    2,807.92/3,872.64 = 2,471.08/x
  3. Step 3: Cross multiply
    2,807.92x = 3,872.64 × 2,471.08
  4. Step 4: Simplify right side
    2,807.92x = 9,569,603.25
  5. Step 5: Solve for x
    x = 9,569,603.25/2,807.92
  6. Step 6: Final answer
    x = 3,408.08

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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.