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Finding the Fourth Proportional to 1,667.54, 2,302.12 and 1,038.61

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Solution

The fourth proportional to 1,667.54, 2,302.12 and 1,038.61 is: 1,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.54 : 2,302.12 = 1,038.61 : x
  2. Step 2: Convert to fraction form
    1,667.54/2,302.12 = 1,038.61/x
  3. Step 3: Cross multiply
    1,667.54x = 2,302.12 × 1,038.61
  4. Step 4: Simplify right side
    1,667.54x = 2,391,004.85
  5. Step 5: Solve for x
    x = 2,391,004.85/1,667.54
  6. Step 6: Final answer
    x = 1,433.85

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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.