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Finding the Fourth Proportional to 2,902.95, 4,006.01 and 1,576.69

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Solution

The fourth proportional to 2,902.95, 4,006.01 and 1,576.69 is: 2,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.95 : 4,006.01 = 1,576.69 : x
  2. Step 2: Convert to fraction form
    2,902.95/4,006.01 = 1,576.69/x
  3. Step 3: Cross multiply
    2,902.95x = 4,006.01 × 1,576.69
  4. Step 4: Simplify right side
    2,902.95x = 6,316,229.83
  5. Step 5: Solve for x
    x = 6,316,229.83/2,902.95
  6. Step 6: Final answer
    x = 2,175.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.