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Finding the Fourth Proportional to 2,505.81, 3,460.55 and 2,011.71

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Solution

The fourth proportional to 2,505.81, 3,460.55 and 2,011.71 is: 2,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.81 : 3,460.55 = 2,011.71 : x
  2. Step 2: Convert to fraction form
    2,505.81/3,460.55 = 2,011.71/x
  3. Step 3: Cross multiply
    2,505.81x = 3,460.55 × 2,011.71
  4. Step 4: Simplify right side
    2,505.81x = 6,961,612.98
  5. Step 5: Solve for x
    x = 6,961,612.98/2,505.81
  6. Step 6: Final answer
    x = 2,778.19

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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.