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Finding the Fourth Proportional to 2,346.66, 3,237.84 and 1,603.08

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Solution

The fourth proportional to 2,346.66, 3,237.84 and 1,603.08 is: 2,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.66 : 3,237.84 = 1,603.08 : x
  2. Step 2: Convert to fraction form
    2,346.66/3,237.84 = 1,603.08/x
  3. Step 3: Cross multiply
    2,346.66x = 3,237.84 × 1,603.08
  4. Step 4: Simplify right side
    2,346.66x = 5,190,516.55
  5. Step 5: Solve for x
    x = 5,190,516.55/2,346.66
  6. Step 6: Final answer
    x = 2,211.87

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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.