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Finding the Fourth Proportional to 2,580.46, 3,870.57 and 632.56

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Solution

The fourth proportional to 2,580.46, 3,870.57 and 632.56 is: 948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.46 : 3,870.57 = 632.56 : x
  2. Step 2: Convert to fraction form
    2,580.46/3,870.57 = 632.56/x
  3. Step 3: Cross multiply
    2,580.46x = 3,870.57 × 632.56
  4. Step 4: Simplify right side
    2,580.46x = 2,448,367.76
  5. Step 5: Solve for x
    x = 2,448,367.76/2,580.46
  6. Step 6: Final answer
    x = 948.81

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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.