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Finding the Fourth Proportional to 1,500.77, 2,071.69 and 911.49

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Solution

The fourth proportional to 1,500.77, 2,071.69 and 911.49 is: 1,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.77 : 2,071.69 = 911.49 : x
  2. Step 2: Convert to fraction form
    1,500.77/2,071.69 = 911.49/x
  3. Step 3: Cross multiply
    1,500.77x = 2,071.69 × 911.49
  4. Step 4: Simplify right side
    1,500.77x = 1,888,322.44
  5. Step 5: Solve for x
    x = 1,888,322.44/1,500.77
  6. Step 6: Final answer
    x = 1,258.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.