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Finding the Fourth Proportional to 1,654.68, 2,284.52 and 1,477.34

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Solution

The fourth proportional to 1,654.68, 2,284.52 and 1,477.34 is: 2,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.68 : 2,284.52 = 1,477.34 : x
  2. Step 2: Convert to fraction form
    1,654.68/2,284.52 = 1,477.34/x
  3. Step 3: Cross multiply
    1,654.68x = 2,284.52 × 1,477.34
  4. Step 4: Simplify right side
    1,654.68x = 3,375,012.78
  5. Step 5: Solve for x
    x = 3,375,012.78/1,654.68
  6. Step 6: Final answer
    x = 2,039.68

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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.