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Finding the Fourth Proportional to 1,938.69, 2,908.34 and 705.87

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Solution

The fourth proportional to 1,938.69, 2,908.34 and 705.87 is: 1,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.69 : 2,908.34 = 705.87 : x
  2. Step 2: Convert to fraction form
    1,938.69/2,908.34 = 705.87/x
  3. Step 3: Cross multiply
    1,938.69x = 2,908.34 × 705.87
  4. Step 4: Simplify right side
    1,938.69x = 2,052,909.96
  5. Step 5: Solve for x
    x = 2,052,909.96/1,938.69
  6. Step 6: Final answer
    x = 1,058.92

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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.