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Finding the Fourth Proportional to 2,597.94, 3,587.52 and 1,668.06

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Solution

The fourth proportional to 2,597.94, 3,587.52 and 1,668.06 is: 2,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.94 : 3,587.52 = 1,668.06 : x
  2. Step 2: Convert to fraction form
    2,597.94/3,587.52 = 1,668.06/x
  3. Step 3: Cross multiply
    2,597.94x = 3,587.52 × 1,668.06
  4. Step 4: Simplify right side
    2,597.94x = 5,984,198.61
  5. Step 5: Solve for x
    x = 5,984,198.61/2,597.94
  6. Step 6: Final answer
    x = 2,303.44

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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.