Home / 1,590.14-2,384.22-616.02

Finding the Fourth Proportional to 1,590.14, 2,384.22 and 616.02

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Solution

The fourth proportional to 1,590.14, 2,384.22 and 616.02 is: 923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.14 : 2,384.22 = 616.02 : x
  2. Step 2: Convert to fraction form
    1,590.14/2,384.22 = 616.02/x
  3. Step 3: Cross multiply
    1,590.14x = 2,384.22 × 616.02
  4. Step 4: Simplify right side
    1,590.14x = 1,468,727.20
  5. Step 5: Solve for x
    x = 1,468,727.20/1,590.14
  6. Step 6: Final answer
    x = 923.65

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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.