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Finding the Fourth Proportional to 2,604.56, 3,585.48 and 2,013.98

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Solution

The fourth proportional to 2,604.56, 3,585.48 and 2,013.98 is: 2,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.56 : 3,585.48 = 2,013.98 : x
  2. Step 2: Convert to fraction form
    2,604.56/3,585.48 = 2,013.98/x
  3. Step 3: Cross multiply
    2,604.56x = 3,585.48 × 2,013.98
  4. Step 4: Simplify right side
    2,604.56x = 7,221,085.01
  5. Step 5: Solve for x
    x = 7,221,085.01/2,604.56
  6. Step 6: Final answer
    x = 2,772.48

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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.