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Finding the Fourth Proportional to 1,867.41, 2,576.03 and 1,158.81

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Solution

The fourth proportional to 1,867.41, 2,576.03 and 1,158.81 is: 1,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.41 : 2,576.03 = 1,158.81 : x
  2. Step 2: Convert to fraction form
    1,867.41/2,576.03 = 1,158.81/x
  3. Step 3: Cross multiply
    1,867.41x = 2,576.03 × 1,158.81
  4. Step 4: Simplify right side
    1,867.41x = 2,985,123.53
  5. Step 5: Solve for x
    x = 2,985,123.53/1,867.41
  6. Step 6: Final answer
    x = 1,598.54

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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.