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Finding the Fourth Proportional to 2,969.63, 4,098.15 and 1,923.51

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Solution

The fourth proportional to 2,969.63, 4,098.15 and 1,923.51 is: 2,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.63 : 4,098.15 = 1,923.51 : x
  2. Step 2: Convert to fraction form
    2,969.63/4,098.15 = 1,923.51/x
  3. Step 3: Cross multiply
    2,969.63x = 4,098.15 × 1,923.51
  4. Step 4: Simplify right side
    2,969.63x = 7,882,832.51
  5. Step 5: Solve for x
    x = 7,882,832.51/2,969.63
  6. Step 6: Final answer
    x = 2,654.49

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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.