Home / 2,034.13-3,051.60-1,416.10

Finding the Fourth Proportional to 2,034.13, 3,051.60 and 1,416.10

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Solution

The fourth proportional to 2,034.13, 3,051.60 and 1,416.10 is: 2,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.13 : 3,051.60 = 1,416.10 : x
  2. Step 2: Convert to fraction form
    2,034.13/3,051.60 = 1,416.10/x
  3. Step 3: Cross multiply
    2,034.13x = 3,051.60 × 1,416.10
  4. Step 4: Simplify right side
    2,034.13x = 4,321,370.76
  5. Step 5: Solve for x
    x = 4,321,370.76/2,034.13
  6. Step 6: Final answer
    x = 2,124.43

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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.