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Finding the Fourth Proportional to 1,584.69, 2,377.45 and 927.13

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Solution

The fourth proportional to 1,584.69, 2,377.45 and 927.13 is: 1,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.69 : 2,377.45 = 927.13 : x
  2. Step 2: Convert to fraction form
    1,584.69/2,377.45 = 927.13/x
  3. Step 3: Cross multiply
    1,584.69x = 2,377.45 × 927.13
  4. Step 4: Simplify right side
    1,584.69x = 2,204,188.70
  5. Step 5: Solve for x
    x = 2,204,188.70/1,584.69
  6. Step 6: Final answer
    x = 1,390.93

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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.