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Finding the Fourth Proportional to 2,366.35, 3,551.67 and 2,357.49

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Solution

The fourth proportional to 2,366.35, 3,551.67 and 2,357.49 is: 3,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.35 : 3,551.67 = 2,357.49 : x
  2. Step 2: Convert to fraction form
    2,366.35/3,551.67 = 2,357.49/x
  3. Step 3: Cross multiply
    2,366.35x = 3,551.67 × 2,357.49
  4. Step 4: Simplify right side
    2,366.35x = 8,373,026.51
  5. Step 5: Solve for x
    x = 8,373,026.51/2,366.35
  6. Step 6: Final answer
    x = 3,538.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.