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Finding the Fourth Proportional to 2,366.46, 3,548.79 and 1,133.55

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Solution

The fourth proportional to 2,366.46, 3,548.79 and 1,133.55 is: 1,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.46 : 3,548.79 = 1,133.55 : x
  2. Step 2: Convert to fraction form
    2,366.46/3,548.79 = 1,133.55/x
  3. Step 3: Cross multiply
    2,366.46x = 3,548.79 × 1,133.55
  4. Step 4: Simplify right side
    2,366.46x = 4,022,730.90
  5. Step 5: Solve for x
    x = 4,022,730.90/2,366.46
  6. Step 6: Final answer
    x = 1,699.89

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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.