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Finding the Fourth Proportional to 2,406.31, 3,319.77 and 1,411.22

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Solution

The fourth proportional to 2,406.31, 3,319.77 and 1,411.22 is: 1,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.31 : 3,319.77 = 1,411.22 : x
  2. Step 2: Convert to fraction form
    2,406.31/3,319.77 = 1,411.22/x
  3. Step 3: Cross multiply
    2,406.31x = 3,319.77 × 1,411.22
  4. Step 4: Simplify right side
    2,406.31x = 4,684,925.82
  5. Step 5: Solve for x
    x = 4,684,925.82/2,406.31
  6. Step 6: Final answer
    x = 1,946.93

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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.