Home / 2,026-2,795.90-1,141.76

Finding the Fourth Proportional to 2,026, 2,795.90 and 1,141.76

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Solution

The fourth proportional to 2,026, 2,795.90 and 1,141.76 is: 1,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026 : 2,795.90 = 1,141.76 : x
  2. Step 2: Convert to fraction form
    2,026/2,795.90 = 1,141.76/x
  3. Step 3: Cross multiply
    2,026x = 2,795.90 × 1,141.76
  4. Step 4: Simplify right side
    2,026x = 3,192,246.78
  5. Step 5: Solve for x
    x = 3,192,246.78/2,026
  6. Step 6: Final answer
    x = 1,575.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.