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Finding the Fourth Proportional to 3,296.99, 4,549.10 and 1,970.44

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Solution

The fourth proportional to 3,296.99, 4,549.10 and 1,970.44 is: 2,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.99 : 4,549.10 = 1,970.44 : x
  2. Step 2: Convert to fraction form
    3,296.99/4,549.10 = 1,970.44/x
  3. Step 3: Cross multiply
    3,296.99x = 4,549.10 × 1,970.44
  4. Step 4: Simplify right side
    3,296.99x = 8,963,707.38
  5. Step 5: Solve for x
    x = 8,963,707.38/3,296.99
  6. Step 6: Final answer
    x = 2,718.75

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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.