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Finding the Fourth Proportional to 1,640.63, 2,263.98 and 942.01

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Solution

The fourth proportional to 1,640.63, 2,263.98 and 942.01 is: 1,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.63 : 2,263.98 = 942.01 : x
  2. Step 2: Convert to fraction form
    1,640.63/2,263.98 = 942.01/x
  3. Step 3: Cross multiply
    1,640.63x = 2,263.98 × 942.01
  4. Step 4: Simplify right side
    1,640.63x = 2,132,688.49
  5. Step 5: Solve for x
    x = 2,132,688.49/1,640.63
  6. Step 6: Final answer
    x = 1,299.92

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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.