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Finding the Fourth Proportional to 2,475.96, 3,416.86 and 1,357

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Solution

The fourth proportional to 2,475.96, 3,416.86 and 1,357 is: 1,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.96 : 3,416.86 = 1,357 : x
  2. Step 2: Convert to fraction form
    2,475.96/3,416.86 = 1,357/x
  3. Step 3: Cross multiply
    2,475.96x = 3,416.86 × 1,357
  4. Step 4: Simplify right side
    2,475.96x = 4,636,679.02
  5. Step 5: Solve for x
    x = 4,636,679.02/2,475.96
  6. Step 6: Final answer
    x = 1,872.68

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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.