Home / 2,054.48-3,078.32-1,506.88

Finding the Fourth Proportional to 2,054.48, 3,078.32 and 1,506.88

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Solution

The fourth proportional to 2,054.48, 3,078.32 and 1,506.88 is: 2,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.48 : 3,078.32 = 1,506.88 : x
  2. Step 2: Convert to fraction form
    2,054.48/3,078.32 = 1,506.88/x
  3. Step 3: Cross multiply
    2,054.48x = 3,078.32 × 1,506.88
  4. Step 4: Simplify right side
    2,054.48x = 4,638,658.84
  5. Step 5: Solve for x
    x = 4,638,658.84/2,054.48
  6. Step 6: Final answer
    x = 2,257.83

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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.