Home / 1,519.56-2,280.15-1,409.40

Finding the Fourth Proportional to 1,519.56, 2,280.15 and 1,409.40

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Solution

The fourth proportional to 1,519.56, 2,280.15 and 1,409.40 is: 2,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.56 : 2,280.15 = 1,409.40 : x
  2. Step 2: Convert to fraction form
    1,519.56/2,280.15 = 1,409.40/x
  3. Step 3: Cross multiply
    1,519.56x = 2,280.15 × 1,409.40
  4. Step 4: Simplify right side
    1,519.56x = 3,213,643.41
  5. Step 5: Solve for x
    x = 3,213,643.41/1,519.56
  6. Step 6: Final answer
    x = 2,114.85

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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.