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Finding the Fourth Proportional to 2,534.76, 3,798.14 and 1,667.16

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Solution

The fourth proportional to 2,534.76, 3,798.14 and 1,667.16 is: 2,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.76 : 3,798.14 = 1,667.16 : x
  2. Step 2: Convert to fraction form
    2,534.76/3,798.14 = 1,667.16/x
  3. Step 3: Cross multiply
    2,534.76x = 3,798.14 × 1,667.16
  4. Step 4: Simplify right side
    2,534.76x = 6,332,107.08
  5. Step 5: Solve for x
    x = 6,332,107.08/2,534.76
  6. Step 6: Final answer
    x = 2,498.11

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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.