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Finding the Fourth Proportional to 3,096.76, 4,641.90 and 1,926.76

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Solution

The fourth proportional to 3,096.76, 4,641.90 and 1,926.76 is: 2,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.76 : 4,641.90 = 1,926.76 : x
  2. Step 2: Convert to fraction form
    3,096.76/4,641.90 = 1,926.76/x
  3. Step 3: Cross multiply
    3,096.76x = 4,641.90 × 1,926.76
  4. Step 4: Simplify right side
    3,096.76x = 8,943,827.24
  5. Step 5: Solve for x
    x = 8,943,827.24/3,096.76
  6. Step 6: Final answer
    x = 2,888.12

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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.