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Finding the Fourth Proportional to 1,575.09, 2,174.40 and 1,220.22

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Solution

The fourth proportional to 1,575.09, 2,174.40 and 1,220.22 is: 1,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.09 : 2,174.40 = 1,220.22 : x
  2. Step 2: Convert to fraction form
    1,575.09/2,174.40 = 1,220.22/x
  3. Step 3: Cross multiply
    1,575.09x = 2,174.40 × 1,220.22
  4. Step 4: Simplify right side
    1,575.09x = 2,653,246.37
  5. Step 5: Solve for x
    x = 2,653,246.37/1,575.09
  6. Step 6: Final answer
    x = 1,684.50

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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.