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Finding the Fourth Proportional to 1,607.05, 2,215.16 and 1,311.81

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Solution

The fourth proportional to 1,607.05, 2,215.16 and 1,311.81 is: 1,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.05 : 2,215.16 = 1,311.81 : x
  2. Step 2: Convert to fraction form
    1,607.05/2,215.16 = 1,311.81/x
  3. Step 3: Cross multiply
    1,607.05x = 2,215.16 × 1,311.81
  4. Step 4: Simplify right side
    1,607.05x = 2,905,869.04
  5. Step 5: Solve for x
    x = 2,905,869.04/1,607.05
  6. Step 6: Final answer
    x = 1,808.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.