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Finding the Fourth Proportional to 1,977.35, 2,966.12 and 881.72

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Solution

The fourth proportional to 1,977.35, 2,966.12 and 881.72 is: 1,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.35 : 2,966.12 = 881.72 : x
  2. Step 2: Convert to fraction form
    1,977.35/2,966.12 = 881.72/x
  3. Step 3: Cross multiply
    1,977.35x = 2,966.12 × 881.72
  4. Step 4: Simplify right side
    1,977.35x = 2,615,268.09
  5. Step 5: Solve for x
    x = 2,615,268.09/1,977.35
  6. Step 6: Final answer
    x = 1,322.62

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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.