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Finding the Fourth Proportional to 1,486.23, 2,051.45 and 888.97

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Solution

The fourth proportional to 1,486.23, 2,051.45 and 888.97 is: 1,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.23 : 2,051.45 = 888.97 : x
  2. Step 2: Convert to fraction form
    1,486.23/2,051.45 = 888.97/x
  3. Step 3: Cross multiply
    1,486.23x = 2,051.45 × 888.97
  4. Step 4: Simplify right side
    1,486.23x = 1,823,677.51
  5. Step 5: Solve for x
    x = 1,823,677.51/1,486.23
  6. Step 6: Final answer
    x = 1,227.05

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Why These Related Problems?

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