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Finding the Fourth Proportional to 2,412.52, 3,326.54 and 1,667.00

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Solution

The fourth proportional to 2,412.52, 3,326.54 and 1,667.00 is: 2,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.52 : 3,326.54 = 1,667.00 : x
  2. Step 2: Convert to fraction form
    2,412.52/3,326.54 = 1,667.00/x
  3. Step 3: Cross multiply
    2,412.52x = 3,326.54 × 1,667.00
  4. Step 4: Simplify right side
    2,412.52x = 5,545,342.16
  5. Step 5: Solve for x
    x = 5,545,342.16/2,412.52
  6. Step 6: Final answer
    x = 2,298.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.