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Finding the Fourth Proportional to 2,597.63, 3,584.72 and 1,666.13

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Solution

The fourth proportional to 2,597.63, 3,584.72 and 1,666.13 is: 2,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.63 : 3,584.72 = 1,666.13 : x
  2. Step 2: Convert to fraction form
    2,597.63/3,584.72 = 1,666.13/x
  3. Step 3: Cross multiply
    2,597.63x = 3,584.72 × 1,666.13
  4. Step 4: Simplify right side
    2,597.63x = 5,972,595.78
  5. Step 5: Solve for x
    x = 5,972,595.78/2,597.63
  6. Step 6: Final answer
    x = 2,299.25

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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.