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Finding the Fourth Proportional to 1,494.06, 2,061.96 and 856.06

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Solution

The fourth proportional to 1,494.06, 2,061.96 and 856.06 is: 1,181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.06 : 2,061.96 = 856.06 : x
  2. Step 2: Convert to fraction form
    1,494.06/2,061.96 = 856.06/x
  3. Step 3: Cross multiply
    1,494.06x = 2,061.96 × 856.06
  4. Step 4: Simplify right side
    1,494.06x = 1,765,161.48
  5. Step 5: Solve for x
    x = 1,765,161.48/1,494.06
  6. Step 6: Final answer
    x = 1,181.45

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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.