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Finding the Fourth Proportional to 2,277.90, 3,417.66 and 797.34

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Solution

The fourth proportional to 2,277.90, 3,417.66 and 797.34 is: 1,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.90 : 3,417.66 = 797.34 : x
  2. Step 2: Convert to fraction form
    2,277.90/3,417.66 = 797.34/x
  3. Step 3: Cross multiply
    2,277.90x = 3,417.66 × 797.34
  4. Step 4: Simplify right side
    2,277.90x = 2,725,037.02
  5. Step 5: Solve for x
    x = 2,725,037.02/2,277.90
  6. Step 6: Final answer
    x = 1,196.29

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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.