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Finding the Fourth Proportional to 3,165.84, 4,747.92 and 944.07

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Solution

The fourth proportional to 3,165.84, 4,747.92 and 944.07 is: 1,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.84 : 4,747.92 = 944.07 : x
  2. Step 2: Convert to fraction form
    3,165.84/4,747.92 = 944.07/x
  3. Step 3: Cross multiply
    3,165.84x = 4,747.92 × 944.07
  4. Step 4: Simplify right side
    3,165.84x = 4,482,368.83
  5. Step 5: Solve for x
    x = 4,482,368.83/3,165.84
  6. Step 6: Final answer
    x = 1,415.85

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1.5x scale

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.