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Finding the Fourth Proportional to 3,461.74, 4,776.10 and 1,969.65

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Solution

The fourth proportional to 3,461.74, 4,776.10 and 1,969.65 is: 2,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.74 : 4,776.10 = 1,969.65 : x
  2. Step 2: Convert to fraction form
    3,461.74/4,776.10 = 1,969.65/x
  3. Step 3: Cross multiply
    3,461.74x = 4,776.10 × 1,969.65
  4. Step 4: Simplify right side
    3,461.74x = 9,407,240.44
  5. Step 5: Solve for x
    x = 9,407,240.44/3,461.74
  6. Step 6: Final answer
    x = 2,717.49

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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.