Home / 2,026-2,795.86-1,187.14

Finding the Fourth Proportional to 2,026, 2,795.86 and 1,187.14

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Solution

The fourth proportional to 2,026, 2,795.86 and 1,187.14 is: 1,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026 : 2,795.86 = 1,187.14 : x
  2. Step 2: Convert to fraction form
    2,026/2,795.86 = 1,187.14/x
  3. Step 3: Cross multiply
    2,026x = 2,795.86 × 1,187.14
  4. Step 4: Simplify right side
    2,026x = 3,319,077.24
  5. Step 5: Solve for x
    x = 3,319,077.24/2,026
  6. Step 6: Final answer
    x = 1,638.24

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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.