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Finding the Fourth Proportional to 2,403.99, 3,608.03 and 944.16

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Solution

The fourth proportional to 2,403.99, 3,608.03 and 944.16 is: 1,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.99 : 3,608.03 = 944.16 : x
  2. Step 2: Convert to fraction form
    2,403.99/3,608.03 = 944.16/x
  3. Step 3: Cross multiply
    2,403.99x = 3,608.03 × 944.16
  4. Step 4: Simplify right side
    2,403.99x = 3,406,552.88
  5. Step 5: Solve for x
    x = 3,406,552.88/2,403.99
  6. Step 6: Final answer
    x = 1,417.04

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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.