Home / 2,071.24-3,102.45-1,658.14

Finding the Fourth Proportional to 2,071.24, 3,102.45 and 1,658.14

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Solution

The fourth proportional to 2,071.24, 3,102.45 and 1,658.14 is: 2,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.24 : 3,102.45 = 1,658.14 : x
  2. Step 2: Convert to fraction form
    2,071.24/3,102.45 = 1,658.14/x
  3. Step 3: Cross multiply
    2,071.24x = 3,102.45 × 1,658.14
  4. Step 4: Simplify right side
    2,071.24x = 5,144,296.44
  5. Step 5: Solve for x
    x = 5,144,296.44/2,071.24
  6. Step 6: Final answer
    x = 2,483.68

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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.