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Finding the Fourth Proportional to 2,404.68, 3,607.02 and 580.68

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Solution

The fourth proportional to 2,404.68, 3,607.02 and 580.68 is: 871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.68 : 3,607.02 = 580.68 : x
  2. Step 2: Convert to fraction form
    2,404.68/3,607.02 = 580.68/x
  3. Step 3: Cross multiply
    2,404.68x = 3,607.02 × 580.68
  4. Step 4: Simplify right side
    2,404.68x = 2,094,524.37
  5. Step 5: Solve for x
    x = 2,094,524.37/2,404.68
  6. Step 6: Final answer
    x = 871.02

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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.