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Finding the Fourth Proportional to 2,114.40, 3,172.95 and 881.72

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Solution

The fourth proportional to 2,114.40, 3,172.95 and 881.72 is: 1,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.40 : 3,172.95 = 881.72 : x
  2. Step 2: Convert to fraction form
    2,114.40/3,172.95 = 881.72/x
  3. Step 3: Cross multiply
    2,114.40x = 3,172.95 × 881.72
  4. Step 4: Simplify right side
    2,114.40x = 2,797,653.47
  5. Step 5: Solve for x
    x = 2,797,653.47/2,114.40
  6. Step 6: Final answer
    x = 1,323.14

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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.