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Finding the Fourth Proportional to 2,284.02, 3,151.04 and 1,398.29

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Solution

The fourth proportional to 2,284.02, 3,151.04 and 1,398.29 is: 1,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.02 : 3,151.04 = 1,398.29 : x
  2. Step 2: Convert to fraction form
    2,284.02/3,151.04 = 1,398.29/x
  3. Step 3: Cross multiply
    2,284.02x = 3,151.04 × 1,398.29
  4. Step 4: Simplify right side
    2,284.02x = 4,406,044.97
  5. Step 5: Solve for x
    x = 4,406,044.97/2,284.02
  6. Step 6: Final answer
    x = 1,929.07

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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.