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Finding the Fourth Proportional to 2,356, 3,249.04 and 1,411.64

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Solution

The fourth proportional to 2,356, 3,249.04 and 1,411.64 is: 1,946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356 : 3,249.04 = 1,411.64 : x
  2. Step 2: Convert to fraction form
    2,356/3,249.04 = 1,411.64/x
  3. Step 3: Cross multiply
    2,356x = 3,249.04 × 1,411.64
  4. Step 4: Simplify right side
    2,356x = 4,586,474.83
  5. Step 5: Solve for x
    x = 4,586,474.83/2,356
  6. Step 6: Final answer
    x = 1,946.72

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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.