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Finding the Fourth Proportional to 1,667.65, 2,302.01 and 1,492.69

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Solution

The fourth proportional to 1,667.65, 2,302.01 and 1,492.69 is: 2,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.65 : 2,302.01 = 1,492.69 : x
  2. Step 2: Convert to fraction form
    1,667.65/2,302.01 = 1,492.69/x
  3. Step 3: Cross multiply
    1,667.65x = 2,302.01 × 1,492.69
  4. Step 4: Simplify right side
    1,667.65x = 3,436,179.84
  5. Step 5: Solve for x
    x = 3,436,179.84/1,667.65
  6. Step 6: Final answer
    x = 2,060.49

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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.