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Finding the Fourth Proportional to 2,864.03, 4,298.06 and 1,693.31

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Solution

The fourth proportional to 2,864.03, 4,298.06 and 1,693.31 is: 2,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.03 : 4,298.06 = 1,693.31 : x
  2. Step 2: Convert to fraction form
    2,864.03/4,298.06 = 1,693.31/x
  3. Step 3: Cross multiply
    2,864.03x = 4,298.06 × 1,693.31
  4. Step 4: Simplify right side
    2,864.03x = 7,277,930.72
  5. Step 5: Solve for x
    x = 7,277,930.72/2,864.03
  6. Step 6: Final answer
    x = 2,541.15

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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.