Home / 2,582.10-3,873.15-1,597.95

Finding the Fourth Proportional to 2,582.10, 3,873.15 and 1,597.95

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Solution

The fourth proportional to 2,582.10, 3,873.15 and 1,597.95 is: 2,396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.10 : 3,873.15 = 1,597.95 : x
  2. Step 2: Convert to fraction form
    2,582.10/3,873.15 = 1,597.95/x
  3. Step 3: Cross multiply
    2,582.10x = 3,873.15 × 1,597.95
  4. Step 4: Simplify right side
    2,582.10x = 6,189,100.04
  5. Step 5: Solve for x
    x = 6,189,100.04/2,582.10
  6. Step 6: Final answer
    x = 2,396.93

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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.