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Finding the Fourth Proportional to 3,296.86, 4,549.12 and 1,970.08

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Solution

The fourth proportional to 3,296.86, 4,549.12 and 1,970.08 is: 2,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.86 : 4,549.12 = 1,970.08 : x
  2. Step 2: Convert to fraction form
    3,296.86/4,549.12 = 1,970.08/x
  3. Step 3: Cross multiply
    3,296.86x = 4,549.12 × 1,970.08
  4. Step 4: Simplify right side
    3,296.86x = 8,962,114.03
  5. Step 5: Solve for x
    x = 8,962,114.03/3,296.86
  6. Step 6: Final answer
    x = 2,718.38

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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.