Home / 2,509.49-3,762.40-1,049.06

Finding the Fourth Proportional to 2,509.49, 3,762.40 and 1,049.06

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Solution

The fourth proportional to 2,509.49, 3,762.40 and 1,049.06 is: 1,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.49 : 3,762.40 = 1,049.06 : x
  2. Step 2: Convert to fraction form
    2,509.49/3,762.40 = 1,049.06/x
  3. Step 3: Cross multiply
    2,509.49x = 3,762.40 × 1,049.06
  4. Step 4: Simplify right side
    2,509.49x = 3,946,983.34
  5. Step 5: Solve for x
    x = 3,946,983.34/2,509.49
  6. Step 6: Final answer
    x = 1,572.82

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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.