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Finding the Fourth Proportional to 1,502.16, 2,073.03 and 839.05

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Solution

The fourth proportional to 1,502.16, 2,073.03 and 839.05 is: 1,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.16 : 2,073.03 = 839.05 : x
  2. Step 2: Convert to fraction form
    1,502.16/2,073.03 = 839.05/x
  3. Step 3: Cross multiply
    1,502.16x = 2,073.03 × 839.05
  4. Step 4: Simplify right side
    1,502.16x = 1,739,376.86
  5. Step 5: Solve for x
    x = 1,739,376.86/1,502.16
  6. Step 6: Final answer
    x = 1,157.92

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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.