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Finding the Fourth Proportional to 1,501.19, 2,071.80 and 911.72

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Solution

The fourth proportional to 1,501.19, 2,071.80 and 911.72 is: 1,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.19 : 2,071.80 = 911.72 : x
  2. Step 2: Convert to fraction form
    1,501.19/2,071.80 = 911.72/x
  3. Step 3: Cross multiply
    1,501.19x = 2,071.80 × 911.72
  4. Step 4: Simplify right side
    1,501.19x = 1,888,891.14
  5. Step 5: Solve for x
    x = 1,888,891.14/1,501.19
  6. Step 6: Final answer
    x = 1,258.27

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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.