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Finding the Fourth Proportional to 1,970.60, 2,956.57 and 875.72

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Solution

The fourth proportional to 1,970.60, 2,956.57 and 875.72 is: 1,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.60 : 2,956.57 = 875.72 : x
  2. Step 2: Convert to fraction form
    1,970.60/2,956.57 = 875.72/x
  3. Step 3: Cross multiply
    1,970.60x = 2,956.57 × 875.72
  4. Step 4: Simplify right side
    1,970.60x = 2,589,132.68
  5. Step 5: Solve for x
    x = 2,589,132.68/1,970.60
  6. Step 6: Final answer
    x = 1,313.88

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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.