Home / 2,026.90-3,037.16-1,538.46

Finding the Fourth Proportional to 2,026.90, 3,037.16 and 1,538.46

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Solution

The fourth proportional to 2,026.90, 3,037.16 and 1,538.46 is: 2,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.90 : 3,037.16 = 1,538.46 : x
  2. Step 2: Convert to fraction form
    2,026.90/3,037.16 = 1,538.46/x
  3. Step 3: Cross multiply
    2,026.90x = 3,037.16 × 1,538.46
  4. Step 4: Simplify right side
    2,026.90x = 4,672,549.17
  5. Step 5: Solve for x
    x = 4,672,549.17/2,026.90
  6. Step 6: Final answer
    x = 2,305.27

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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.