Home / 2,046-2,823.48-1,114.56

Finding the Fourth Proportional to 2,046, 2,823.48 and 1,114.56

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Solution

The fourth proportional to 2,046, 2,823.48 and 1,114.56 is: 1,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046 : 2,823.48 = 1,114.56 : x
  2. Step 2: Convert to fraction form
    2,046/2,823.48 = 1,114.56/x
  3. Step 3: Cross multiply
    2,046x = 2,823.48 × 1,114.56
  4. Step 4: Simplify right side
    2,046x = 3,146,937.87
  5. Step 5: Solve for x
    x = 3,146,937.87/2,046
  6. Step 6: Final answer
    x = 1,538.09

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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.