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Finding the Fourth Proportional to 2,366.64, 3,533.31 and 1,808.42

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Solution

The fourth proportional to 2,366.64, 3,533.31 and 1,808.42 is: 2,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.64 : 3,533.31 = 1,808.42 : x
  2. Step 2: Convert to fraction form
    2,366.64/3,533.31 = 1,808.42/x
  3. Step 3: Cross multiply
    2,366.64x = 3,533.31 × 1,808.42
  4. Step 4: Simplify right side
    2,366.64x = 6,389,708.47
  5. Step 5: Solve for x
    x = 6,389,708.47/2,366.64
  6. Step 6: Final answer
    x = 2,699.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.