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Finding the Fourth Proportional to 1,501.36, 2,071.26 and 911.80

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Solution

The fourth proportional to 1,501.36, 2,071.26 and 911.80 is: 1,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.36 : 2,071.26 = 911.80 : x
  2. Step 2: Convert to fraction form
    1,501.36/2,071.26 = 911.80/x
  3. Step 3: Cross multiply
    1,501.36x = 2,071.26 × 911.80
  4. Step 4: Simplify right side
    1,501.36x = 1,888,574.87
  5. Step 5: Solve for x
    x = 1,888,574.87/1,501.36
  6. Step 6: Final answer
    x = 1,257.91

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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.