Home / 2,378.24-3,574.44-1,970

Finding the Fourth Proportional to 2,378.24, 3,574.44 and 1,970

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Solution

The fourth proportional to 2,378.24, 3,574.44 and 1,970 is: 2,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.24 : 3,574.44 = 1,970 : x
  2. Step 2: Convert to fraction form
    2,378.24/3,574.44 = 1,970/x
  3. Step 3: Cross multiply
    2,378.24x = 3,574.44 × 1,970
  4. Step 4: Simplify right side
    2,378.24x = 7,041,646.80
  5. Step 5: Solve for x
    x = 7,041,646.80/2,378.24
  6. Step 6: Final answer
    x = 2,960.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.