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Finding the Fourth Proportional to 2,049.64, 3,066.01 and 1,875.03

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Solution

The fourth proportional to 2,049.64, 3,066.01 and 1,875.03 is: 2,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.64 : 3,066.01 = 1,875.03 : x
  2. Step 2: Convert to fraction form
    2,049.64/3,066.01 = 1,875.03/x
  3. Step 3: Cross multiply
    2,049.64x = 3,066.01 × 1,875.03
  4. Step 4: Simplify right side
    2,049.64x = 5,748,860.73
  5. Step 5: Solve for x
    x = 5,748,860.73/2,049.64
  6. Step 6: Final answer
    x = 2,804.81

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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.