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Finding the Fourth Proportional to 2,290.13, 3,162.02 and 1,406.23

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Solution

The fourth proportional to 2,290.13, 3,162.02 and 1,406.23 is: 1,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.13 : 3,162.02 = 1,406.23 : x
  2. Step 2: Convert to fraction form
    2,290.13/3,162.02 = 1,406.23/x
  3. Step 3: Cross multiply
    2,290.13x = 3,162.02 × 1,406.23
  4. Step 4: Simplify right side
    2,290.13x = 4,446,527.38
  5. Step 5: Solve for x
    x = 4,446,527.38/2,290.13
  6. Step 6: Final answer
    x = 1,941.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.