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Finding the Fourth Proportional to 2,337.34, 3,505.60 and 856.25

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Solution

The fourth proportional to 2,337.34, 3,505.60 and 856.25 is: 1,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.34 : 3,505.60 = 856.25 : x
  2. Step 2: Convert to fraction form
    2,337.34/3,505.60 = 856.25/x
  3. Step 3: Cross multiply
    2,337.34x = 3,505.60 × 856.25
  4. Step 4: Simplify right side
    2,337.34x = 3,001,665.72
  5. Step 5: Solve for x
    x = 3,001,665.72/2,337.34
  6. Step 6: Final answer
    x = 1,284.22

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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.