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Finding the Fourth Proportional to 1,851.60, 2,777.10 and 1,541.26

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Solution

The fourth proportional to 1,851.60, 2,777.10 and 1,541.26 is: 2,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.60 : 2,777.10 = 1,541.26 : x
  2. Step 2: Convert to fraction form
    1,851.60/2,777.10 = 1,541.26/x
  3. Step 3: Cross multiply
    1,851.60x = 2,777.10 × 1,541.26
  4. Step 4: Simplify right side
    1,851.60x = 4,280,233.15
  5. Step 5: Solve for x
    x = 4,280,233.15/1,851.60
  6. Step 6: Final answer
    x = 2,311.64

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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.