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Finding the Fourth Proportional to 1,640.40, 2,263.65 and 1,010.97

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Solution

The fourth proportional to 1,640.40, 2,263.65 and 1,010.97 is: 1,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.40 : 2,263.65 = 1,010.97 : x
  2. Step 2: Convert to fraction form
    1,640.40/2,263.65 = 1,010.97/x
  3. Step 3: Cross multiply
    1,640.40x = 2,263.65 × 1,010.97
  4. Step 4: Simplify right side
    1,640.40x = 2,288,482.24
  5. Step 5: Solve for x
    x = 2,288,482.24/1,640.40
  6. Step 6: Final answer
    x = 1,395.08

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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.