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Finding the Fourth Proportional to 2,193.59, 3,028.05 and 1,564.22

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Solution

The fourth proportional to 2,193.59, 3,028.05 and 1,564.22 is: 2,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.59 : 3,028.05 = 1,564.22 : x
  2. Step 2: Convert to fraction form
    2,193.59/3,028.05 = 1,564.22/x
  3. Step 3: Cross multiply
    2,193.59x = 3,028.05 × 1,564.22
  4. Step 4: Simplify right side
    2,193.59x = 4,736,521.23
  5. Step 5: Solve for x
    x = 4,736,521.23/2,193.59
  6. Step 6: Final answer
    x = 2,159.26

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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.