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Finding the Fourth Proportional to 2,564.94, 3,847.41 and 715.90

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Solution

The fourth proportional to 2,564.94, 3,847.41 and 715.90 is: 1,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.94 : 3,847.41 = 715.90 : x
  2. Step 2: Convert to fraction form
    2,564.94/3,847.41 = 715.90/x
  3. Step 3: Cross multiply
    2,564.94x = 3,847.41 × 715.90
  4. Step 4: Simplify right side
    2,564.94x = 2,754,364.83
  5. Step 5: Solve for x
    x = 2,754,364.83/2,564.94
  6. Step 6: Final answer
    x = 1,073.85

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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.