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Finding the Fourth Proportional to 2,853.39, 4,277.34 and 904.26

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Solution

The fourth proportional to 2,853.39, 4,277.34 and 904.26 is: 1,355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.39 : 4,277.34 = 904.26 : x
  2. Step 2: Convert to fraction form
    2,853.39/4,277.34 = 904.26/x
  3. Step 3: Cross multiply
    2,853.39x = 4,277.34 × 904.26
  4. Step 4: Simplify right side
    2,853.39x = 3,867,827.47
  5. Step 5: Solve for x
    x = 3,867,827.47/2,853.39
  6. Step 6: Final answer
    x = 1,355.52

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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.