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Finding the Fourth Proportional to 1,904.73, 2,628.90 and 1,242.15

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Solution

The fourth proportional to 1,904.73, 2,628.90 and 1,242.15 is: 1,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.73 : 2,628.90 = 1,242.15 : x
  2. Step 2: Convert to fraction form
    1,904.73/2,628.90 = 1,242.15/x
  3. Step 3: Cross multiply
    1,904.73x = 2,628.90 × 1,242.15
  4. Step 4: Simplify right side
    1,904.73x = 3,265,488.14
  5. Step 5: Solve for x
    x = 3,265,488.14/1,904.73
  6. Step 6: Final answer
    x = 1,714.41

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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.