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Finding the Fourth Proportional to 2,404.93, 3,607.40 and 1,857.91

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Solution

The fourth proportional to 2,404.93, 3,607.40 and 1,857.91 is: 2,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.93 : 3,607.40 = 1,857.91 : x
  2. Step 2: Convert to fraction form
    2,404.93/3,607.40 = 1,857.91/x
  3. Step 3: Cross multiply
    2,404.93x = 3,607.40 × 1,857.91
  4. Step 4: Simplify right side
    2,404.93x = 6,702,224.53
  5. Step 5: Solve for x
    x = 6,702,224.53/2,404.93
  6. Step 6: Final answer
    x = 2,786.87

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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.