Home / 2,548.94-3,830.64-1,509.14

Finding the Fourth Proportional to 2,548.94, 3,830.64 and 1,509.14

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Solution

The fourth proportional to 2,548.94, 3,830.64 and 1,509.14 is: 2,267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.94 : 3,830.64 = 1,509.14 : x
  2. Step 2: Convert to fraction form
    2,548.94/3,830.64 = 1,509.14/x
  3. Step 3: Cross multiply
    2,548.94x = 3,830.64 × 1,509.14
  4. Step 4: Simplify right side
    2,548.94x = 5,780,981.63
  5. Step 5: Solve for x
    x = 5,780,981.63/2,548.94
  6. Step 6: Final answer
    x = 2,267.99

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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.