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Finding the Fourth Proportional to 1,795.44, 2,477.83 and 1,009.49

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Solution

The fourth proportional to 1,795.44, 2,477.83 and 1,009.49 is: 1,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.44 : 2,477.83 = 1,009.49 : x
  2. Step 2: Convert to fraction form
    1,795.44/2,477.83 = 1,009.49/x
  3. Step 3: Cross multiply
    1,795.44x = 2,477.83 × 1,009.49
  4. Step 4: Simplify right side
    1,795.44x = 2,501,332.22
  5. Step 5: Solve for x
    x = 2,501,332.22/1,795.44
  6. Step 6: Final answer
    x = 1,393.16

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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.