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Finding the Fourth Proportional to 2,715.30, 3,742.74 and 2,124.81

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Solution

The fourth proportional to 2,715.30, 3,742.74 and 2,124.81 is: 2,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.30 : 3,742.74 = 2,124.81 : x
  2. Step 2: Convert to fraction form
    2,715.30/3,742.74 = 2,124.81/x
  3. Step 3: Cross multiply
    2,715.30x = 3,742.74 × 2,124.81
  4. Step 4: Simplify right side
    2,715.30x = 7,952,611.38
  5. Step 5: Solve for x
    x = 7,952,611.38/2,715.30
  6. Step 6: Final answer
    x = 2,928.82

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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.