Home / 2,582.62-3,564-1,403.68

Finding the Fourth Proportional to 2,582.62, 3,564 and 1,403.68

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Solution

The fourth proportional to 2,582.62, 3,564 and 1,403.68 is: 1,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.62 : 3,564 = 1,403.68 : x
  2. Step 2: Convert to fraction form
    2,582.62/3,564 = 1,403.68/x
  3. Step 3: Cross multiply
    2,582.62x = 3,564 × 1,403.68
  4. Step 4: Simplify right side
    2,582.62x = 5,002,715.52
  5. Step 5: Solve for x
    x = 5,002,715.52/2,582.62
  6. Step 6: Final answer
    x = 1,937.07

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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.