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Finding the Fourth Proportional to 1,610.96, 2,223.16 and 912.36

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Solution

The fourth proportional to 1,610.96, 2,223.16 and 912.36 is: 1,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.96 : 2,223.16 = 912.36 : x
  2. Step 2: Convert to fraction form
    1,610.96/2,223.16 = 912.36/x
  3. Step 3: Cross multiply
    1,610.96x = 2,223.16 × 912.36
  4. Step 4: Simplify right side
    1,610.96x = 2,028,322.26
  5. Step 5: Solve for x
    x = 2,028,322.26/1,610.96
  6. Step 6: Final answer
    x = 1,259.08

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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.