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Finding the Fourth Proportional to 3,417.84, 4,717.05 and 1,926.12

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Solution

The fourth proportional to 3,417.84, 4,717.05 and 1,926.12 is: 2,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.84 : 4,717.05 = 1,926.12 : x
  2. Step 2: Convert to fraction form
    3,417.84/4,717.05 = 1,926.12/x
  3. Step 3: Cross multiply
    3,417.84x = 4,717.05 × 1,926.12
  4. Step 4: Simplify right side
    3,417.84x = 9,085,604.35
  5. Step 5: Solve for x
    x = 9,085,604.35/3,417.84
  6. Step 6: Final answer
    x = 2,658.29

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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.