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Finding the Fourth Proportional to 1,973.47, 2,956.94 and 1,769.98

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Solution

The fourth proportional to 1,973.47, 2,956.94 and 1,769.98 is: 2,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.47 : 2,956.94 = 1,769.98 : x
  2. Step 2: Convert to fraction form
    1,973.47/2,956.94 = 1,769.98/x
  3. Step 3: Cross multiply
    1,973.47x = 2,956.94 × 1,769.98
  4. Step 4: Simplify right side
    1,973.47x = 5,233,724.66
  5. Step 5: Solve for x
    x = 5,233,724.66/1,973.47
  6. Step 6: Final answer
    x = 2,652.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.