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Finding the Fourth Proportional to 1,370.23, 1,888.66 and 927.97

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Solution

The fourth proportional to 1,370.23, 1,888.66 and 927.97 is: 1,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.23 : 1,888.66 = 927.97 : x
  2. Step 2: Convert to fraction form
    1,370.23/1,888.66 = 927.97/x
  3. Step 3: Cross multiply
    1,370.23x = 1,888.66 × 927.97
  4. Step 4: Simplify right side
    1,370.23x = 1,752,619.82
  5. Step 5: Solve for x
    x = 1,752,619.82/1,370.23
  6. Step 6: Final answer
    x = 1,279.07

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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.