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Finding the Fourth Proportional to 3,051.60, 4,578.17 and 1,409.31

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Solution

The fourth proportional to 3,051.60, 4,578.17 and 1,409.31 is: 2,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.60 : 4,578.17 = 1,409.31 : x
  2. Step 2: Convert to fraction form
    3,051.60/4,578.17 = 1,409.31/x
  3. Step 3: Cross multiply
    3,051.60x = 4,578.17 × 1,409.31
  4. Step 4: Simplify right side
    3,051.60x = 6,452,053.72
  5. Step 5: Solve for x
    x = 6,452,053.72/3,051.60
  6. Step 6: Final answer
    x = 2,114.32

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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.