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Finding the Fourth Proportional to 1,848.68, 2,540.44 and 1,537.64

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Solution

The fourth proportional to 1,848.68, 2,540.44 and 1,537.64 is: 2,113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.68 : 2,540.44 = 1,537.64 : x
  2. Step 2: Convert to fraction form
    1,848.68/2,540.44 = 1,537.64/x
  3. Step 3: Cross multiply
    1,848.68x = 2,540.44 × 1,537.64
  4. Step 4: Simplify right side
    1,848.68x = 3,906,282.16
  5. Step 5: Solve for x
    x = 3,906,282.16/1,848.68
  6. Step 6: Final answer
    x = 2,113.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.