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Finding the Fourth Proportional to 1,507.82, 2,258.40 and 1,244.84

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Solution

The fourth proportional to 1,507.82, 2,258.40 and 1,244.84 is: 1,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.82 : 2,258.40 = 1,244.84 : x
  2. Step 2: Convert to fraction form
    1,507.82/2,258.40 = 1,244.84/x
  3. Step 3: Cross multiply
    1,507.82x = 2,258.40 × 1,244.84
  4. Step 4: Simplify right side
    1,507.82x = 2,811,346.66
  5. Step 5: Solve for x
    x = 2,811,346.66/1,507.82
  6. Step 6: Final answer
    x = 1,864.51

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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.