Home / 1,578.02-2,182.38-1,381.20

Finding the Fourth Proportional to 1,578.02, 2,182.38 and 1,381.20

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Solution

The fourth proportional to 1,578.02, 2,182.38 and 1,381.20 is: 1,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.02 : 2,182.38 = 1,381.20 : x
  2. Step 2: Convert to fraction form
    1,578.02/2,182.38 = 1,381.20/x
  3. Step 3: Cross multiply
    1,578.02x = 2,182.38 × 1,381.20
  4. Step 4: Simplify right side
    1,578.02x = 3,014,303.26
  5. Step 5: Solve for x
    x = 3,014,303.26/1,578.02
  6. Step 6: Final answer
    x = 1,910.18

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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.