Home / 3,106.41-4,657.40-1,462.11

Finding the Fourth Proportional to 3,106.41, 4,657.40 and 1,462.11

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Solution

The fourth proportional to 3,106.41, 4,657.40 and 1,462.11 is: 2,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.41 : 4,657.40 = 1,462.11 : x
  2. Step 2: Convert to fraction form
    3,106.41/4,657.40 = 1,462.11/x
  3. Step 3: Cross multiply
    3,106.41x = 4,657.40 × 1,462.11
  4. Step 4: Simplify right side
    3,106.41x = 6,809,631.11
  5. Step 5: Solve for x
    x = 6,809,631.11/3,106.41
  6. Step 6: Final answer
    x = 2,192.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.