Home / 1,582.13-2,371.59-1,027.18

Finding the Fourth Proportional to 1,582.13, 2,371.59 and 1,027.18

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Solution

The fourth proportional to 1,582.13, 2,371.59 and 1,027.18 is: 1,539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.13 : 2,371.59 = 1,027.18 : x
  2. Step 2: Convert to fraction form
    1,582.13/2,371.59 = 1,027.18/x
  3. Step 3: Cross multiply
    1,582.13x = 2,371.59 × 1,027.18
  4. Step 4: Simplify right side
    1,582.13x = 2,436,040.22
  5. Step 5: Solve for x
    x = 2,436,040.22/1,582.13
  6. Step 6: Final answer
    x = 1,539.72

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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.