Home / 1,574.83-2,362.24-1,540.23

Finding the Fourth Proportional to 1,574.83, 2,362.24 and 1,540.23

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Solution

The fourth proportional to 1,574.83, 2,362.24 and 1,540.23 is: 2,310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.83 : 2,362.24 = 1,540.23 : x
  2. Step 2: Convert to fraction form
    1,574.83/2,362.24 = 1,540.23/x
  3. Step 3: Cross multiply
    1,574.83x = 2,362.24 × 1,540.23
  4. Step 4: Simplify right side
    1,574.83x = 3,638,392.92
  5. Step 5: Solve for x
    x = 3,638,392.92/1,574.83
  6. Step 6: Final answer
    x = 2,310.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.