Home / 1,588.48-2,382.72-1,463.20

Finding the Fourth Proportional to 1,588.48, 2,382.72 and 1,463.20

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Solution

The fourth proportional to 1,588.48, 2,382.72 and 1,463.20 is: 2,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.48 : 2,382.72 = 1,463.20 : x
  2. Step 2: Convert to fraction form
    1,588.48/2,382.72 = 1,463.20/x
  3. Step 3: Cross multiply
    1,588.48x = 2,382.72 × 1,463.20
  4. Step 4: Simplify right side
    1,588.48x = 3,486,395.90
  5. Step 5: Solve for x
    x = 3,486,395.90/1,588.48
  6. Step 6: Final answer
    x = 2,194.80

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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.