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Finding the Fourth Proportional to 2,303.31, 3,455.01 and 917.29

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Solution

The fourth proportional to 2,303.31, 3,455.01 and 917.29 is: 1,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.31 : 3,455.01 = 917.29 : x
  2. Step 2: Convert to fraction form
    2,303.31/3,455.01 = 917.29/x
  3. Step 3: Cross multiply
    2,303.31x = 3,455.01 × 917.29
  4. Step 4: Simplify right side
    2,303.31x = 3,169,246.12
  5. Step 5: Solve for x
    x = 3,169,246.12/2,303.31
  6. Step 6: Final answer
    x = 1,375.95

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Why These Related Problems?

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