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Finding the Fourth Proportional to 2,265.39, 3,395.16 and 947.66

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Solution

The fourth proportional to 2,265.39, 3,395.16 and 947.66 is: 1,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.39 : 3,395.16 = 947.66 : x
  2. Step 2: Convert to fraction form
    2,265.39/3,395.16 = 947.66/x
  3. Step 3: Cross multiply
    2,265.39x = 3,395.16 × 947.66
  4. Step 4: Simplify right side
    2,265.39x = 3,217,440.35
  5. Step 5: Solve for x
    x = 3,217,440.35/2,265.39
  6. Step 6: Final answer
    x = 1,420.26

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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.