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Finding the Fourth Proportional to 2,354.15, 3,248.15 and 1,410.09

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Solution

The fourth proportional to 2,354.15, 3,248.15 and 1,410.09 is: 1,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.15 : 3,248.15 = 1,410.09 : x
  2. Step 2: Convert to fraction form
    2,354.15/3,248.15 = 1,410.09/x
  3. Step 3: Cross multiply
    2,354.15x = 3,248.15 × 1,410.09
  4. Step 4: Simplify right side
    2,354.15x = 4,580,176.78
  5. Step 5: Solve for x
    x = 4,580,176.78/2,354.15
  6. Step 6: Final answer
    x = 1,945.58

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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.