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Finding the Fourth Proportional to 1,807.36, 2,707.83 and 1,258.47

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Solution

The fourth proportional to 1,807.36, 2,707.83 and 1,258.47 is: 1,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.36 : 2,707.83 = 1,258.47 : x
  2. Step 2: Convert to fraction form
    1,807.36/2,707.83 = 1,258.47/x
  3. Step 3: Cross multiply
    1,807.36x = 2,707.83 × 1,258.47
  4. Step 4: Simplify right side
    1,807.36x = 3,407,722.82
  5. Step 5: Solve for x
    x = 3,407,722.82/1,807.36
  6. Step 6: Final answer
    x = 1,885.47

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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.