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Finding the Fourth Proportional to 2,597.56, 3,584.64 and 1,549.60

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Solution

The fourth proportional to 2,597.56, 3,584.64 and 1,549.60 is: 2,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.56 : 3,584.64 = 1,549.60 : x
  2. Step 2: Convert to fraction form
    2,597.56/3,584.64 = 1,549.60/x
  3. Step 3: Cross multiply
    2,597.56x = 3,584.64 × 1,549.60
  4. Step 4: Simplify right side
    2,597.56x = 5,554,758.14
  5. Step 5: Solve for x
    x = 5,554,758.14/2,597.56
  6. Step 6: Final answer
    x = 2,138.45

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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.