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Finding the Fourth Proportional to 2,404.78, 3,314.01 and 1,657.38

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Solution

The fourth proportional to 2,404.78, 3,314.01 and 1,657.38 is: 2,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.78 : 3,314.01 = 1,657.38 : x
  2. Step 2: Convert to fraction form
    2,404.78/3,314.01 = 1,657.38/x
  3. Step 3: Cross multiply
    2,404.78x = 3,314.01 × 1,657.38
  4. Step 4: Simplify right side
    2,404.78x = 5,492,573.89
  5. Step 5: Solve for x
    x = 5,492,573.89/2,404.78
  6. Step 6: Final answer
    x = 2,284.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.