Home / 1,823.87-2,516.88-1,027.24

Finding the Fourth Proportional to 1,823.87, 2,516.88 and 1,027.24

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Solution

The fourth proportional to 1,823.87, 2,516.88 and 1,027.24 is: 1,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.87 : 2,516.88 = 1,027.24 : x
  2. Step 2: Convert to fraction form
    1,823.87/2,516.88 = 1,027.24/x
  3. Step 3: Cross multiply
    1,823.87x = 2,516.88 × 1,027.24
  4. Step 4: Simplify right side
    1,823.87x = 2,585,439.81
  5. Step 5: Solve for x
    x = 2,585,439.81/1,823.87
  6. Step 6: Final answer
    x = 1,417.56

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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.