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Finding the Fourth Proportional to 2,315.39, 3,465.47 and 2,093.85

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Solution

The fourth proportional to 2,315.39, 3,465.47 and 2,093.85 is: 3,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.39 : 3,465.47 = 2,093.85 : x
  2. Step 2: Convert to fraction form
    2,315.39/3,465.47 = 2,093.85/x
  3. Step 3: Cross multiply
    2,315.39x = 3,465.47 × 2,093.85
  4. Step 4: Simplify right side
    2,315.39x = 7,256,179.59
  5. Step 5: Solve for x
    x = 7,256,179.59/2,315.39
  6. Step 6: Final answer
    x = 3,133.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.