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Finding the Fourth Proportional to 2,291.43, 3,437.69 and 904.84

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Solution

The fourth proportional to 2,291.43, 3,437.69 and 904.84 is: 1,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.43 : 3,437.69 = 904.84 : x
  2. Step 2: Convert to fraction form
    2,291.43/3,437.69 = 904.84/x
  3. Step 3: Cross multiply
    2,291.43x = 3,437.69 × 904.84
  4. Step 4: Simplify right side
    2,291.43x = 3,110,559.42
  5. Step 5: Solve for x
    x = 3,110,559.42/2,291.43
  6. Step 6: Final answer
    x = 1,357.48

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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.