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Finding the Fourth Proportional to 1,667.49, 2,502.86 and 1,363.07

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Solution

The fourth proportional to 1,667.49, 2,502.86 and 1,363.07 is: 2,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.49 : 2,502.86 = 1,363.07 : x
  2. Step 2: Convert to fraction form
    1,667.49/2,502.86 = 1,363.07/x
  3. Step 3: Cross multiply
    1,667.49x = 2,502.86 × 1,363.07
  4. Step 4: Simplify right side
    1,667.49x = 3,411,554.05
  5. Step 5: Solve for x
    x = 3,411,554.05/1,667.49
  6. Step 6: Final answer
    x = 2,045.92

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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.