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Finding the Fourth Proportional to 1,920.74, 2,648.40 and 1,640.12

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Solution

The fourth proportional to 1,920.74, 2,648.40 and 1,640.12 is: 2,261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.74 : 2,648.40 = 1,640.12 : x
  2. Step 2: Convert to fraction form
    1,920.74/2,648.40 = 1,640.12/x
  3. Step 3: Cross multiply
    1,920.74x = 2,648.40 × 1,640.12
  4. Step 4: Simplify right side
    1,920.74x = 4,343,693.81
  5. Step 5: Solve for x
    x = 4,343,693.81/1,920.74
  6. Step 6: Final answer
    x = 2,261.47

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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.