Home / 1,582.08-2,371.83-1,409.08

Finding the Fourth Proportional to 1,582.08, 2,371.83 and 1,409.08

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Solution

The fourth proportional to 1,582.08, 2,371.83 and 1,409.08 is: 2,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.08 : 2,371.83 = 1,409.08 : x
  2. Step 2: Convert to fraction form
    1,582.08/2,371.83 = 1,409.08/x
  3. Step 3: Cross multiply
    1,582.08x = 2,371.83 × 1,409.08
  4. Step 4: Simplify right side
    1,582.08x = 3,342,101.18
  5. Step 5: Solve for x
    x = 3,342,101.18/1,582.08
  6. Step 6: Final answer
    x = 2,112.48

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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.