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Finding the Fourth Proportional to 2,321.03, 3,478.88 and 933.47

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Solution

The fourth proportional to 2,321.03, 3,478.88 and 933.47 is: 1,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.03 : 3,478.88 = 933.47 : x
  2. Step 2: Convert to fraction form
    2,321.03/3,478.88 = 933.47/x
  3. Step 3: Cross multiply
    2,321.03x = 3,478.88 × 933.47
  4. Step 4: Simplify right side
    2,321.03x = 3,247,430.11
  5. Step 5: Solve for x
    x = 3,247,430.11/2,321.03
  6. Step 6: Final answer
    x = 1,399.14

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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.