Home / 1,462.06-2,182.67-1,410.80

Finding the Fourth Proportional to 1,462.06, 2,182.67 and 1,410.80

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Solution

The fourth proportional to 1,462.06, 2,182.67 and 1,410.80 is: 2,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.06 : 2,182.67 = 1,410.80 : x
  2. Step 2: Convert to fraction form
    1,462.06/2,182.67 = 1,410.80/x
  3. Step 3: Cross multiply
    1,462.06x = 2,182.67 × 1,410.80
  4. Step 4: Simplify right side
    1,462.06x = 3,079,298.16
  5. Step 5: Solve for x
    x = 3,079,298.16/1,462.06
  6. Step 6: Final answer
    x = 2,106.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.