Home / 2,275.68-3,406.80-1,582.56

Finding the Fourth Proportional to 2,275.68, 3,406.80 and 1,582.56

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Solution

The fourth proportional to 2,275.68, 3,406.80 and 1,582.56 is: 2,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.68 : 3,406.80 = 1,582.56 : x
  2. Step 2: Convert to fraction form
    2,275.68/3,406.80 = 1,582.56/x
  3. Step 3: Cross multiply
    2,275.68x = 3,406.80 × 1,582.56
  4. Step 4: Simplify right side
    2,275.68x = 5,391,465.41
  5. Step 5: Solve for x
    x = 5,391,465.41/2,275.68
  6. Step 6: Final answer
    x = 2,369.17

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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.