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Finding the Fourth Proportional to 2,114.04, 3,170.40 and 881.52

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Solution

The fourth proportional to 2,114.04, 3,170.40 and 881.52 is: 1,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.04 : 3,170.40 = 881.52 : x
  2. Step 2: Convert to fraction form
    2,114.04/3,170.40 = 881.52/x
  3. Step 3: Cross multiply
    2,114.04x = 3,170.40 × 881.52
  4. Step 4: Simplify right side
    2,114.04x = 2,794,771.01
  5. Step 5: Solve for x
    x = 2,794,771.01/2,114.04
  6. Step 6: Final answer
    x = 1,322.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.