Home / 2,509.13-3,758.91-2,416.64

Finding the Fourth Proportional to 2,509.13, 3,758.91 and 2,416.64

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Solution

The fourth proportional to 2,509.13, 3,758.91 and 2,416.64 is: 3,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.13 : 3,758.91 = 2,416.64 : x
  2. Step 2: Convert to fraction form
    2,509.13/3,758.91 = 2,416.64/x
  3. Step 3: Cross multiply
    2,509.13x = 3,758.91 × 2,416.64
  4. Step 4: Simplify right side
    2,509.13x = 9,083,904.41
  5. Step 5: Solve for x
    x = 9,083,904.41/2,509.13
  6. Step 6: Final answer
    x = 3,620.34

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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.