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Finding the Fourth Proportional to 2,590.53, 3,577.02 and 1,803.21

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Solution

The fourth proportional to 2,590.53, 3,577.02 and 1,803.21 is: 2,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.53 : 3,577.02 = 1,803.21 : x
  2. Step 2: Convert to fraction form
    2,590.53/3,577.02 = 1,803.21/x
  3. Step 3: Cross multiply
    2,590.53x = 3,577.02 × 1,803.21
  4. Step 4: Simplify right side
    2,590.53x = 6,450,118.23
  5. Step 5: Solve for x
    x = 6,450,118.23/2,590.53
  6. Step 6: Final answer
    x = 2,489.88

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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.