Home / 1,540.64-2,297.62-1,467.20

Finding the Fourth Proportional to 1,540.64, 2,297.62 and 1,467.20

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Solution

The fourth proportional to 1,540.64, 2,297.62 and 1,467.20 is: 2,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.64 : 2,297.62 = 1,467.20 : x
  2. Step 2: Convert to fraction form
    1,540.64/2,297.62 = 1,467.20/x
  3. Step 3: Cross multiply
    1,540.64x = 2,297.62 × 1,467.20
  4. Step 4: Simplify right side
    1,540.64x = 3,371,068.06
  5. Step 5: Solve for x
    x = 3,371,068.06/1,540.64
  6. Step 6: Final answer
    x = 2,188.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.