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Finding the Fourth Proportional to 3,274.65, 4,519.04 and 1,948.10

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Solution

The fourth proportional to 3,274.65, 4,519.04 and 1,948.10 is: 2,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.65 : 4,519.04 = 1,948.10 : x
  2. Step 2: Convert to fraction form
    3,274.65/4,519.04 = 1,948.10/x
  3. Step 3: Cross multiply
    3,274.65x = 4,519.04 × 1,948.10
  4. Step 4: Simplify right side
    3,274.65x = 8,803,509.49
  5. Step 5: Solve for x
    x = 8,803,509.49/3,274.65
  6. Step 6: Final answer
    x = 2,688.38

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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.