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Finding the Fourth Proportional to 2,911.87, 4,368.38 and 938.02

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Solution

The fourth proportional to 2,911.87, 4,368.38 and 938.02 is: 1,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.87 : 4,368.38 = 938.02 : x
  2. Step 2: Convert to fraction form
    2,911.87/4,368.38 = 938.02/x
  3. Step 3: Cross multiply
    2,911.87x = 4,368.38 × 938.02
  4. Step 4: Simplify right side
    2,911.87x = 4,097,627.81
  5. Step 5: Solve for x
    x = 4,097,627.81/2,911.87
  6. Step 6: Final answer
    x = 1,407.21

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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.