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Finding the Fourth Proportional to 2,368.35, 3,551.91 and 982.08

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Solution

The fourth proportional to 2,368.35, 3,551.91 and 982.08 is: 1,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.35 : 3,551.91 = 982.08 : x
  2. Step 2: Convert to fraction form
    2,368.35/3,551.91 = 982.08/x
  3. Step 3: Cross multiply
    2,368.35x = 3,551.91 × 982.08
  4. Step 4: Simplify right side
    2,368.35x = 3,488,259.77
  5. Step 5: Solve for x
    x = 3,488,259.77/2,368.35
  6. Step 6: Final answer
    x = 1,472.86

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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.