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Finding the Fourth Proportional to 2,566.53, 3,537.63 and 2,006.01

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Solution

The fourth proportional to 2,566.53, 3,537.63 and 2,006.01 is: 2,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.53 : 3,537.63 = 2,006.01 : x
  2. Step 2: Convert to fraction form
    2,566.53/3,537.63 = 2,006.01/x
  3. Step 3: Cross multiply
    2,566.53x = 3,537.63 × 2,006.01
  4. Step 4: Simplify right side
    2,566.53x = 7,096,521.16
  5. Step 5: Solve for x
    x = 7,096,521.16/2,566.53
  6. Step 6: Final answer
    x = 2,765.03

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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.