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Finding the Fourth Proportional to 2,969.61, 4,098.13 and 1,775.83

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Solution

The fourth proportional to 2,969.61, 4,098.13 and 1,775.83 is: 2,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.61 : 4,098.13 = 1,775.83 : x
  2. Step 2: Convert to fraction form
    2,969.61/4,098.13 = 1,775.83/x
  3. Step 3: Cross multiply
    2,969.61x = 4,098.13 × 1,775.83
  4. Step 4: Simplify right side
    2,969.61x = 7,277,586.72
  5. Step 5: Solve for x
    x = 7,277,586.72/2,969.61
  6. Step 6: Final answer
    x = 2,450.69

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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.