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Finding the Fourth Proportional to 1,970.76, 2,956.58 and 654.92

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Solution

The fourth proportional to 1,970.76, 2,956.58 and 654.92 is: 982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.76 : 2,956.58 = 654.92 : x
  2. Step 2: Convert to fraction form
    1,970.76/2,956.58 = 654.92/x
  3. Step 3: Cross multiply
    1,970.76x = 2,956.58 × 654.92
  4. Step 4: Simplify right side
    1,970.76x = 1,936,317.02
  5. Step 5: Solve for x
    x = 1,936,317.02/1,970.76
  6. Step 6: Final answer
    x = 982.52

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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.