Home / 2,098.24-2,892-1,433.93

Finding the Fourth Proportional to 2,098.24, 2,892 and 1,433.93

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Solution

The fourth proportional to 2,098.24, 2,892 and 1,433.93 is: 1,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.24 : 2,892 = 1,433.93 : x
  2. Step 2: Convert to fraction form
    2,098.24/2,892 = 1,433.93/x
  3. Step 3: Cross multiply
    2,098.24x = 2,892 × 1,433.93
  4. Step 4: Simplify right side
    2,098.24x = 4,146,925.56
  5. Step 5: Solve for x
    x = 4,146,925.56/2,098.24
  6. Step 6: Final answer
    x = 1,976.39

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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.