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Finding the Fourth Proportional to 3,143.93, 4,715.36 and 1,584.63

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Solution

The fourth proportional to 3,143.93, 4,715.36 and 1,584.63 is: 2,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.93 : 4,715.36 = 1,584.63 : x
  2. Step 2: Convert to fraction form
    3,143.93/4,715.36 = 1,584.63/x
  3. Step 3: Cross multiply
    3,143.93x = 4,715.36 × 1,584.63
  4. Step 4: Simplify right side
    3,143.93x = 7,472,100.92
  5. Step 5: Solve for x
    x = 7,472,100.92/3,143.93
  6. Step 6: Final answer
    x = 2,376.68

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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.