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Finding the Fourth Proportional to 2,097.64, 2,901.54 and 1,965.48

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Solution

The fourth proportional to 2,097.64, 2,901.54 and 1,965.48 is: 2,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.64 : 2,901.54 = 1,965.48 : x
  2. Step 2: Convert to fraction form
    2,097.64/2,901.54 = 1,965.48/x
  3. Step 3: Cross multiply
    2,097.64x = 2,901.54 × 1,965.48
  4. Step 4: Simplify right side
    2,097.64x = 5,702,918.84
  5. Step 5: Solve for x
    x = 5,702,918.84/2,097.64
  6. Step 6: Final answer
    x = 2,718.73

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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.