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Finding the Fourth Proportional to 2,125.14, 3,184.02 and 2,048.58

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Solution

The fourth proportional to 2,125.14, 3,184.02 and 2,048.58 is: 3,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.14 : 3,184.02 = 2,048.58 : x
  2. Step 2: Convert to fraction form
    2,125.14/3,184.02 = 2,048.58/x
  3. Step 3: Cross multiply
    2,125.14x = 3,184.02 × 2,048.58
  4. Step 4: Simplify right side
    2,125.14x = 6,522,719.69
  5. Step 5: Solve for x
    x = 6,522,719.69/2,125.14
  6. Step 6: Final answer
    x = 3,069.31

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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.