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Finding the Fourth Proportional to 1,939.03, 2,909.32 and 706.53

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Solution

The fourth proportional to 1,939.03, 2,909.32 and 706.53 is: 1,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.03 : 2,909.32 = 706.53 : x
  2. Step 2: Convert to fraction form
    1,939.03/2,909.32 = 706.53/x
  3. Step 3: Cross multiply
    1,939.03x = 2,909.32 × 706.53
  4. Step 4: Simplify right side
    1,939.03x = 2,055,521.86
  5. Step 5: Solve for x
    x = 2,055,521.86/1,939.03
  6. Step 6: Final answer
    x = 1,060.08

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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.