Home / 2,023.96-3,036.14-563.24

Finding the Fourth Proportional to 2,023.96, 3,036.14 and 563.24

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Solution

The fourth proportional to 2,023.96, 3,036.14 and 563.24 is: 844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.96 : 3,036.14 = 563.24 : x
  2. Step 2: Convert to fraction form
    2,023.96/3,036.14 = 563.24/x
  3. Step 3: Cross multiply
    2,023.96x = 3,036.14 × 563.24
  4. Step 4: Simplify right side
    2,023.96x = 1,710,075.49
  5. Step 5: Solve for x
    x = 1,710,075.49/2,023.96
  6. Step 6: Final answer
    x = 844.92

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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.