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Finding the Fourth Proportional to 2,598.63, 3,583.89 and 2,031.63

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Solution

The fourth proportional to 2,598.63, 3,583.89 and 2,031.63 is: 2,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.63 : 3,583.89 = 2,031.63 : x
  2. Step 2: Convert to fraction form
    2,598.63/3,583.89 = 2,031.63/x
  3. Step 3: Cross multiply
    2,598.63x = 3,583.89 × 2,031.63
  4. Step 4: Simplify right side
    2,598.63x = 7,281,138.44
  5. Step 5: Solve for x
    x = 7,281,138.44/2,598.63
  6. Step 6: Final answer
    x = 2,801.91

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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.