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Finding the Fourth Proportional to 1,795.82, 2,477.96 and 1,009.71

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Solution

The fourth proportional to 1,795.82, 2,477.96 and 1,009.71 is: 1,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.82 : 2,477.96 = 1,009.71 : x
  2. Step 2: Convert to fraction form
    1,795.82/2,477.96 = 1,009.71/x
  3. Step 3: Cross multiply
    1,795.82x = 2,477.96 × 1,009.71
  4. Step 4: Simplify right side
    1,795.82x = 2,502,020.99
  5. Step 5: Solve for x
    x = 2,502,020.99/1,795.82
  6. Step 6: Final answer
    x = 1,393.25

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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.