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Finding the Fourth Proportional to 1,669.52, 2,289.58 and 1,599.44

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Solution

The fourth proportional to 1,669.52, 2,289.58 and 1,599.44 is: 2,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.52 : 2,289.58 = 1,599.44 : x
  2. Step 2: Convert to fraction form
    1,669.52/2,289.58 = 1,599.44/x
  3. Step 3: Cross multiply
    1,669.52x = 2,289.58 × 1,599.44
  4. Step 4: Simplify right side
    1,669.52x = 3,662,045.84
  5. Step 5: Solve for x
    x = 3,662,045.84/1,669.52
  6. Step 6: Final answer
    x = 2,193.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.