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Finding the Fourth Proportional to 1,640.13, 2,263.36 and 894.10

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Solution

The fourth proportional to 1,640.13, 2,263.36 and 894.10 is: 1,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.13 : 2,263.36 = 894.10 : x
  2. Step 2: Convert to fraction form
    1,640.13/2,263.36 = 894.10/x
  3. Step 3: Cross multiply
    1,640.13x = 2,263.36 × 894.10
  4. Step 4: Simplify right side
    1,640.13x = 2,023,670.18
  5. Step 5: Solve for x
    x = 2,023,670.18/1,640.13
  6. Step 6: Final answer
    x = 1,233.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.