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Finding the Fourth Proportional to 2,882.54, 4,323.60 and 1,646.07

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Solution

The fourth proportional to 2,882.54, 4,323.60 and 1,646.07 is: 2,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.54 : 4,323.60 = 1,646.07 : x
  2. Step 2: Convert to fraction form
    2,882.54/4,323.60 = 1,646.07/x
  3. Step 3: Cross multiply
    2,882.54x = 4,323.60 × 1,646.07
  4. Step 4: Simplify right side
    2,882.54x = 7,116,948.25
  5. Step 5: Solve for x
    x = 7,116,948.25/2,882.54
  6. Step 6: Final answer
    x = 2,468.99

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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.