Home / 1,582.24-2,184.68-1,023.08

Finding the Fourth Proportional to 1,582.24, 2,184.68 and 1,023.08

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Solution

The fourth proportional to 1,582.24, 2,184.68 and 1,023.08 is: 1,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.24 : 2,184.68 = 1,023.08 : x
  2. Step 2: Convert to fraction form
    1,582.24/2,184.68 = 1,023.08/x
  3. Step 3: Cross multiply
    1,582.24x = 2,184.68 × 1,023.08
  4. Step 4: Simplify right side
    1,582.24x = 2,235,102.41
  5. Step 5: Solve for x
    x = 2,235,102.41/1,582.24
  6. Step 6: Final answer
    x = 1,412.62

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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.