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Finding the Fourth Proportional to 2,316.31, 3,473.53 and 981.56

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Solution

The fourth proportional to 2,316.31, 3,473.53 and 981.56 is: 1,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.31 : 3,473.53 = 981.56 : x
  2. Step 2: Convert to fraction form
    2,316.31/3,473.53 = 981.56/x
  3. Step 3: Cross multiply
    2,316.31x = 3,473.53 × 981.56
  4. Step 4: Simplify right side
    2,316.31x = 3,409,484.34
  5. Step 5: Solve for x
    x = 3,409,484.34/2,316.31
  6. Step 6: Final answer
    x = 1,471.95

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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.