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Finding the Fourth Proportional to 1,628.64, 2,442.33 and 704.13

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Solution

The fourth proportional to 1,628.64, 2,442.33 and 704.13 is: 1,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.64 : 2,442.33 = 704.13 : x
  2. Step 2: Convert to fraction form
    1,628.64/2,442.33 = 704.13/x
  3. Step 3: Cross multiply
    1,628.64x = 2,442.33 × 704.13
  4. Step 4: Simplify right side
    1,628.64x = 1,719,717.82
  5. Step 5: Solve for x
    x = 1,719,717.82/1,628.64
  6. Step 6: Final answer
    x = 1,055.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.