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Finding the Fourth Proportional to 2,013.61, 2,776.21 and 1,304.20

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Solution

The fourth proportional to 2,013.61, 2,776.21 and 1,304.20 is: 1,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.61 : 2,776.21 = 1,304.20 : x
  2. Step 2: Convert to fraction form
    2,013.61/2,776.21 = 1,304.20/x
  3. Step 3: Cross multiply
    2,013.61x = 2,776.21 × 1,304.20
  4. Step 4: Simplify right side
    2,013.61x = 3,620,733.08
  5. Step 5: Solve for x
    x = 3,620,733.08/2,013.61
  6. Step 6: Final answer
    x = 1,798.13

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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.