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Finding the Fourth Proportional to 1,970.68, 2,956.52 and 583.96

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Solution

The fourth proportional to 1,970.68, 2,956.52 and 583.96 is: 876.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.68 : 2,956.52 = 583.96 : x
  2. Step 2: Convert to fraction form
    1,970.68/2,956.52 = 583.96/x
  3. Step 3: Cross multiply
    1,970.68x = 2,956.52 × 583.96
  4. Step 4: Simplify right side
    1,970.68x = 1,726,489.42
  5. Step 5: Solve for x
    x = 1,726,489.42/1,970.68
  6. Step 6: Final answer
    x = 876.09

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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.