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Finding the Fourth Proportional to 2,410.56, 3,595.47 and 2,337.64

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Solution

The fourth proportional to 2,410.56, 3,595.47 and 2,337.64 is: 3,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.56 : 3,595.47 = 2,337.64 : x
  2. Step 2: Convert to fraction form
    2,410.56/3,595.47 = 2,337.64/x
  3. Step 3: Cross multiply
    2,410.56x = 3,595.47 × 2,337.64
  4. Step 4: Simplify right side
    2,410.56x = 8,404,914.49
  5. Step 5: Solve for x
    x = 8,404,914.49/2,410.56
  6. Step 6: Final answer
    x = 3,486.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.