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Finding the Fourth Proportional to 2,784.75, 4,175.39 and 910.01

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Solution

The fourth proportional to 2,784.75, 4,175.39 and 910.01 is: 1,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.75 : 4,175.39 = 910.01 : x
  2. Step 2: Convert to fraction form
    2,784.75/4,175.39 = 910.01/x
  3. Step 3: Cross multiply
    2,784.75x = 4,175.39 × 910.01
  4. Step 4: Simplify right side
    2,784.75x = 3,799,621.23
  5. Step 5: Solve for x
    x = 3,799,621.23/2,784.75
  6. Step 6: Final answer
    x = 1,364.44

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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.