Home / 1,823.45-2,516.65-1,027.12

Finding the Fourth Proportional to 1,823.45, 2,516.65 and 1,027.12

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Solution

The fourth proportional to 1,823.45, 2,516.65 and 1,027.12 is: 1,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.45 : 2,516.65 = 1,027.12 : x
  2. Step 2: Convert to fraction form
    1,823.45/2,516.65 = 1,027.12/x
  3. Step 3: Cross multiply
    1,823.45x = 2,516.65 × 1,027.12
  4. Step 4: Simplify right side
    1,823.45x = 2,584,901.55
  5. Step 5: Solve for x
    x = 2,584,901.55/1,823.45
  6. Step 6: Final answer
    x = 1,417.59

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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.