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Finding the Fourth Proportional to 3,313.16, 4,966.86 and 1,853

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Solution

The fourth proportional to 3,313.16, 4,966.86 and 1,853 is: 2,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.16 : 4,966.86 = 1,853 : x
  2. Step 2: Convert to fraction form
    3,313.16/4,966.86 = 1,853/x
  3. Step 3: Cross multiply
    3,313.16x = 4,966.86 × 1,853
  4. Step 4: Simplify right side
    3,313.16x = 9,203,591.58
  5. Step 5: Solve for x
    x = 9,203,591.58/3,313.16
  6. Step 6: Final answer
    x = 2,777.89

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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.