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Finding the Fourth Proportional to 1,909.18, 2,864.58 and 611.02

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Solution

The fourth proportional to 1,909.18, 2,864.58 and 611.02 is: 916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.18 : 2,864.58 = 611.02 : x
  2. Step 2: Convert to fraction form
    1,909.18/2,864.58 = 611.02/x
  3. Step 3: Cross multiply
    1,909.18x = 2,864.58 × 611.02
  4. Step 4: Simplify right side
    1,909.18x = 1,750,315.67
  5. Step 5: Solve for x
    x = 1,750,315.67/1,909.18
  6. Step 6: Final answer
    x = 916.79

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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.