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Finding the Fourth Proportional to 2,281.51, 3,409.21 and 1,714.96

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Solution

The fourth proportional to 2,281.51, 3,409.21 and 1,714.96 is: 2,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.51 : 3,409.21 = 1,714.96 : x
  2. Step 2: Convert to fraction form
    2,281.51/3,409.21 = 1,714.96/x
  3. Step 3: Cross multiply
    2,281.51x = 3,409.21 × 1,714.96
  4. Step 4: Simplify right side
    2,281.51x = 5,846,641.74
  5. Step 5: Solve for x
    x = 5,846,641.74/2,281.51
  6. Step 6: Final answer
    x = 2,562.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.