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Finding the Fourth Proportional to 2,570.57, 3,544.07 and 2,097.98

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Solution

The fourth proportional to 2,570.57, 3,544.07 and 2,097.98 is: 2,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.57 : 3,544.07 = 2,097.98 : x
  2. Step 2: Convert to fraction form
    2,570.57/3,544.07 = 2,097.98/x
  3. Step 3: Cross multiply
    2,570.57x = 3,544.07 × 2,097.98
  4. Step 4: Simplify right side
    2,570.57x = 7,435,359.77
  5. Step 5: Solve for x
    x = 7,435,359.77/2,570.57
  6. Step 6: Final answer
    x = 2,892.50

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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.