Home / 1,582.96-2,184.68-1,163.12

Finding the Fourth Proportional to 1,582.96, 2,184.68 and 1,163.12

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Solution

The fourth proportional to 1,582.96, 2,184.68 and 1,163.12 is: 1,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.96 : 2,184.68 = 1,163.12 : x
  2. Step 2: Convert to fraction form
    1,582.96/2,184.68 = 1,163.12/x
  3. Step 3: Cross multiply
    1,582.96x = 2,184.68 × 1,163.12
  4. Step 4: Simplify right side
    1,582.96x = 2,541,045.00
  5. Step 5: Solve for x
    x = 2,541,045.00/1,582.96
  6. Step 6: Final answer
    x = 1,605.25

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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.