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Finding the Fourth Proportional to 2,606.60, 3,597.75 and 1,768.70

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Solution

The fourth proportional to 2,606.60, 3,597.75 and 1,768.70 is: 2,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.60 : 3,597.75 = 1,768.70 : x
  2. Step 2: Convert to fraction form
    2,606.60/3,597.75 = 1,768.70/x
  3. Step 3: Cross multiply
    2,606.60x = 3,597.75 × 1,768.70
  4. Step 4: Simplify right side
    2,606.60x = 6,363,349.42
  5. Step 5: Solve for x
    x = 6,363,349.42/2,606.60
  6. Step 6: Final answer
    x = 2,441.24

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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.