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Finding the Fourth Proportional to 1,913.95, 2,869.58 and 727.81

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Solution

The fourth proportional to 1,913.95, 2,869.58 and 727.81 is: 1,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.95 : 2,869.58 = 727.81 : x
  2. Step 2: Convert to fraction form
    1,913.95/2,869.58 = 727.81/x
  3. Step 3: Cross multiply
    1,913.95x = 2,869.58 × 727.81
  4. Step 4: Simplify right side
    1,913.95x = 2,088,503.67
  5. Step 5: Solve for x
    x = 2,088,503.67/1,913.95
  6. Step 6: Final answer
    x = 1,091.20

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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.