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Finding the Fourth Proportional to 2,080.34, 3,120.58 and 909.74

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Solution

The fourth proportional to 2,080.34, 3,120.58 and 909.74 is: 1,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.34 : 3,120.58 = 909.74 : x
  2. Step 2: Convert to fraction form
    2,080.34/3,120.58 = 909.74/x
  3. Step 3: Cross multiply
    2,080.34x = 3,120.58 × 909.74
  4. Step 4: Simplify right side
    2,080.34x = 2,838,914.79
  5. Step 5: Solve for x
    x = 2,838,914.79/2,080.34
  6. Step 6: Final answer
    x = 1,364.64

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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.