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Finding the Fourth Proportional to 2,598.56, 3,577.96 and 2,029.92

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Solution

The fourth proportional to 2,598.56, 3,577.96 and 2,029.92 is: 2,795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.56 : 3,577.96 = 2,029.92 : x
  2. Step 2: Convert to fraction form
    2,598.56/3,577.96 = 2,029.92/x
  3. Step 3: Cross multiply
    2,598.56x = 3,577.96 × 2,029.92
  4. Step 4: Simplify right side
    2,598.56x = 7,262,972.56
  5. Step 5: Solve for x
    x = 7,262,972.56/2,598.56
  6. Step 6: Final answer
    x = 2,795.00

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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.