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Finding the Fourth Proportional to 1,618.42, 2,427.61 and 1,156.41

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Solution

The fourth proportional to 1,618.42, 2,427.61 and 1,156.41 is: 1,734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.42 : 2,427.61 = 1,156.41 : x
  2. Step 2: Convert to fraction form
    1,618.42/2,427.61 = 1,156.41/x
  3. Step 3: Cross multiply
    1,618.42x = 2,427.61 × 1,156.41
  4. Step 4: Simplify right side
    1,618.42x = 2,807,312.48
  5. Step 5: Solve for x
    x = 2,807,312.48/1,618.42
  6. Step 6: Final answer
    x = 1,734.60

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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.