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Finding the Fourth Proportional to 2,506.41, 3,459.83 and 2,440.17

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Solution

The fourth proportional to 2,506.41, 3,459.83 and 2,440.17 is: 3,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.41 : 3,459.83 = 2,440.17 : x
  2. Step 2: Convert to fraction form
    2,506.41/3,459.83 = 2,440.17/x
  3. Step 3: Cross multiply
    2,506.41x = 3,459.83 × 2,440.17
  4. Step 4: Simplify right side
    2,506.41x = 8,442,561.17
  5. Step 5: Solve for x
    x = 8,442,561.17/2,506.41
  6. Step 6: Final answer
    x = 3,368.39

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Why These Related Problems?

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