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Finding the Fourth Proportional to 1,888.80, 2,833.26 and 1,613.16

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Solution

The fourth proportional to 1,888.80, 2,833.26 and 1,613.16 is: 2,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.80 : 2,833.26 = 1,613.16 : x
  2. Step 2: Convert to fraction form
    1,888.80/2,833.26 = 1,613.16/x
  3. Step 3: Cross multiply
    1,888.80x = 2,833.26 × 1,613.16
  4. Step 4: Simplify right side
    1,888.80x = 4,570,501.70
  5. Step 5: Solve for x
    x = 4,570,501.70/1,888.80
  6. Step 6: Final answer
    x = 2,419.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.