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Finding the Fourth Proportional to 2,366.58, 3,258.45 and 2,011.80

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Solution

The fourth proportional to 2,366.58, 3,258.45 and 2,011.80 is: 2,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.58 : 3,258.45 = 2,011.80 : x
  2. Step 2: Convert to fraction form
    2,366.58/3,258.45 = 2,011.80/x
  3. Step 3: Cross multiply
    2,366.58x = 3,258.45 × 2,011.80
  4. Step 4: Simplify right side
    2,366.58x = 6,555,349.71
  5. Step 5: Solve for x
    x = 6,555,349.71/2,366.58
  6. Step 6: Final answer
    x = 2,769.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.