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Finding the Fourth Proportional to 1,939.63, 2,910.35 and 707.17

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Solution

The fourth proportional to 1,939.63, 2,910.35 and 707.17 is: 1,061.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.63 : 2,910.35 = 707.17 : x
  2. Step 2: Convert to fraction form
    1,939.63/2,910.35 = 707.17/x
  3. Step 3: Cross multiply
    1,939.63x = 2,910.35 × 707.17
  4. Step 4: Simplify right side
    1,939.63x = 2,058,112.21
  5. Step 5: Solve for x
    x = 2,058,112.21/1,939.63
  6. Step 6: Final answer
    x = 1,061.08

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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.