Home / 1,823.24-2,516-1,116.26

Finding the Fourth Proportional to 1,823.24, 2,516 and 1,116.26

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Solution

The fourth proportional to 1,823.24, 2,516 and 1,116.26 is: 1,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.24 : 2,516 = 1,116.26 : x
  2. Step 2: Convert to fraction form
    1,823.24/2,516 = 1,116.26/x
  3. Step 3: Cross multiply
    1,823.24x = 2,516 × 1,116.26
  4. Step 4: Simplify right side
    1,823.24x = 2,808,510.16
  5. Step 5: Solve for x
    x = 2,808,510.16/1,823.24
  6. Step 6: Final answer
    x = 1,540.40

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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.