Home / 2,298.44-3,430-2,052.38

Finding the Fourth Proportional to 2,298.44, 3,430 and 2,052.38

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Solution

The fourth proportional to 2,298.44, 3,430 and 2,052.38 is: 3,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.44 : 3,430 = 2,052.38 : x
  2. Step 2: Convert to fraction form
    2,298.44/3,430 = 2,052.38/x
  3. Step 3: Cross multiply
    2,298.44x = 3,430 × 2,052.38
  4. Step 4: Simplify right side
    2,298.44x = 7,039,663.40
  5. Step 5: Solve for x
    x = 7,039,663.40/2,298.44
  6. Step 6: Final answer
    x = 3,062.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.