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Finding the Fourth Proportional to 2,870.38, 3,953.58 and 2,205.96

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Solution

The fourth proportional to 2,870.38, 3,953.58 and 2,205.96 is: 3,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.38 : 3,953.58 = 2,205.96 : x
  2. Step 2: Convert to fraction form
    2,870.38/3,953.58 = 2,205.96/x
  3. Step 3: Cross multiply
    2,870.38x = 3,953.58 × 2,205.96
  4. Step 4: Simplify right side
    2,870.38x = 8,721,439.34
  5. Step 5: Solve for x
    x = 8,721,439.34/2,870.38
  6. Step 6: Final answer
    x = 3,038.43

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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.