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Finding the Fourth Proportional to 2,923.66, 4,013.18 and 2,584.66

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Solution

The fourth proportional to 2,923.66, 4,013.18 and 2,584.66 is: 3,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.66 : 4,013.18 = 2,584.66 : x
  2. Step 2: Convert to fraction form
    2,923.66/4,013.18 = 2,584.66/x
  3. Step 3: Cross multiply
    2,923.66x = 4,013.18 × 2,584.66
  4. Step 4: Simplify right side
    2,923.66x = 10,372,705.82
  5. Step 5: Solve for x
    x = 10,372,705.82/2,923.66
  6. Step 6: Final answer
    x = 3,547.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.