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Finding the Fourth Proportional to 2,077.21, 3,117.36 and 981.91

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Solution

The fourth proportional to 2,077.21, 3,117.36 and 981.91 is: 1,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.21 : 3,117.36 = 981.91 : x
  2. Step 2: Convert to fraction form
    2,077.21/3,117.36 = 981.91/x
  3. Step 3: Cross multiply
    2,077.21x = 3,117.36 × 981.91
  4. Step 4: Simplify right side
    2,077.21x = 3,060,966.96
  5. Step 5: Solve for x
    x = 3,060,966.96/2,077.21
  6. Step 6: Final answer
    x = 1,473.60

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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.