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Finding the Fourth Proportional to 2,354.97, 3,249 and 1,410.79

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Solution

The fourth proportional to 2,354.97, 3,249 and 1,410.79 is: 1,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.97 : 3,249 = 1,410.79 : x
  2. Step 2: Convert to fraction form
    2,354.97/3,249 = 1,410.79/x
  3. Step 3: Cross multiply
    2,354.97x = 3,249 × 1,410.79
  4. Step 4: Simplify right side
    2,354.97x = 4,583,656.71
  5. Step 5: Solve for x
    x = 4,583,656.71/2,354.97
  6. Step 6: Final answer
    x = 1,946.38

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1.5x scale

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.