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Finding the Fourth Proportional to 2,549.00, 3,517.57 and 1,429.93

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Solution

The fourth proportional to 2,549.00, 3,517.57 and 1,429.93 is: 1,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.00 : 3,517.57 = 1,429.93 : x
  2. Step 2: Convert to fraction form
    2,549.00/3,517.57 = 1,429.93/x
  3. Step 3: Cross multiply
    2,549.00x = 3,517.57 × 1,429.93
  4. Step 4: Simplify right side
    2,549.00x = 5,029,878.87
  5. Step 5: Solve for x
    x = 5,029,878.87/2,549.00
  6. Step 6: Final answer
    x = 1,973.28

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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.