Home / 2,098.46-2,895.86-1,214.22

Finding the Fourth Proportional to 2,098.46, 2,895.86 and 1,214.22

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Solution

The fourth proportional to 2,098.46, 2,895.86 and 1,214.22 is: 1,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.46 : 2,895.86 = 1,214.22 : x
  2. Step 2: Convert to fraction form
    2,098.46/2,895.86 = 1,214.22/x
  3. Step 3: Cross multiply
    2,098.46x = 2,895.86 × 1,214.22
  4. Step 4: Simplify right side
    2,098.46x = 3,516,211.13
  5. Step 5: Solve for x
    x = 3,516,211.13/2,098.46
  6. Step 6: Final answer
    x = 1,675.62

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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.