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Finding the Fourth Proportional to 2,390.98, 3,582.42 and 1,464.60

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Solution

The fourth proportional to 2,390.98, 3,582.42 and 1,464.60 is: 2,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.98 : 3,582.42 = 1,464.60 : x
  2. Step 2: Convert to fraction form
    2,390.98/3,582.42 = 1,464.60/x
  3. Step 3: Cross multiply
    2,390.98x = 3,582.42 × 1,464.60
  4. Step 4: Simplify right side
    2,390.98x = 5,246,812.33
  5. Step 5: Solve for x
    x = 5,246,812.33/2,390.98
  6. Step 6: Final answer
    x = 2,194.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.