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Finding the Fourth Proportional to 2,405.02, 3,607.53 and 944.46

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Solution

The fourth proportional to 2,405.02, 3,607.53 and 944.46 is: 1,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.02 : 3,607.53 = 944.46 : x
  2. Step 2: Convert to fraction form
    2,405.02/3,607.53 = 944.46/x
  3. Step 3: Cross multiply
    2,405.02x = 3,607.53 × 944.46
  4. Step 4: Simplify right side
    2,405.02x = 3,407,149.75
  5. Step 5: Solve for x
    x = 3,407,149.75/2,405.02
  6. Step 6: Final answer
    x = 1,416.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.