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Finding the Fourth Proportional to 2,462.68, 3,400.86 and 2,111.32

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Solution

The fourth proportional to 2,462.68, 3,400.86 and 2,111.32 is: 2,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.68 : 3,400.86 = 2,111.32 : x
  2. Step 2: Convert to fraction form
    2,462.68/3,400.86 = 2,111.32/x
  3. Step 3: Cross multiply
    2,462.68x = 3,400.86 × 2,111.32
  4. Step 4: Simplify right side
    2,462.68x = 7,180,303.74
  5. Step 5: Solve for x
    x = 7,180,303.74/2,462.68
  6. Step 6: Final answer
    x = 2,915.65

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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.