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Finding the Fourth Proportional to 1,667.88, 2,494.67 and 972.81

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Solution

The fourth proportional to 1,667.88, 2,494.67 and 972.81 is: 1,455.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.88 : 2,494.67 = 972.81 : x
  2. Step 2: Convert to fraction form
    1,667.88/2,494.67 = 972.81/x
  3. Step 3: Cross multiply
    1,667.88x = 2,494.67 × 972.81
  4. Step 4: Simplify right side
    1,667.88x = 2,426,835.06
  5. Step 5: Solve for x
    x = 2,426,835.06/1,667.88
  6. Step 6: Final answer
    x = 1,455.04

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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.