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Finding the Fourth Proportional to 1,528.56, 2,109.34 and 856.42

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Solution

The fourth proportional to 1,528.56, 2,109.34 and 856.42 is: 1,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.56 : 2,109.34 = 856.42 : x
  2. Step 2: Convert to fraction form
    1,528.56/2,109.34 = 856.42/x
  3. Step 3: Cross multiply
    1,528.56x = 2,109.34 × 856.42
  4. Step 4: Simplify right side
    1,528.56x = 1,806,483.10
  5. Step 5: Solve for x
    x = 1,806,483.10/1,528.56
  6. Step 6: Final answer
    x = 1,181.82

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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.