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Finding the Fourth Proportional to 2,050.76, 3,076.05 and 954.74

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Solution

The fourth proportional to 2,050.76, 3,076.05 and 954.74 is: 1,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.76 : 3,076.05 = 954.74 : x
  2. Step 2: Convert to fraction form
    2,050.76/3,076.05 = 954.74/x
  3. Step 3: Cross multiply
    2,050.76x = 3,076.05 × 954.74
  4. Step 4: Simplify right side
    2,050.76x = 2,936,827.98
  5. Step 5: Solve for x
    x = 2,936,827.98/2,050.76
  6. Step 6: Final answer
    x = 1,432.07

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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.