Home / 2,583.96-3,857.28-2,409

Finding the Fourth Proportional to 2,583.96, 3,857.28 and 2,409

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Solution

The fourth proportional to 2,583.96, 3,857.28 and 2,409 is: 3,596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.96 : 3,857.28 = 2,409 : x
  2. Step 2: Convert to fraction form
    2,583.96/3,857.28 = 2,409/x
  3. Step 3: Cross multiply
    2,583.96x = 3,857.28 × 2,409
  4. Step 4: Simplify right side
    2,583.96x = 9,292,187.52
  5. Step 5: Solve for x
    x = 9,292,187.52/2,583.96
  6. Step 6: Final answer
    x = 3,596.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.