Home / 2,098.64-2,896-1,214.38

Finding the Fourth Proportional to 2,098.64, 2,896 and 1,214.38

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Solution

The fourth proportional to 2,098.64, 2,896 and 1,214.38 is: 1,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.64 : 2,896 = 1,214.38 : x
  2. Step 2: Convert to fraction form
    2,098.64/2,896 = 1,214.38/x
  3. Step 3: Cross multiply
    2,098.64x = 2,896 × 1,214.38
  4. Step 4: Simplify right side
    2,098.64x = 3,516,844.48
  5. Step 5: Solve for x
    x = 3,516,844.48/2,098.64
  6. Step 6: Final answer
    x = 1,675.77

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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.