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Finding the Fourth Proportional to 2,411.57, 3,327.80 and 1,416.75

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Solution

The fourth proportional to 2,411.57, 3,327.80 and 1,416.75 is: 1,955.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.57 : 3,327.80 = 1,416.75 : x
  2. Step 2: Convert to fraction form
    2,411.57/3,327.80 = 1,416.75/x
  3. Step 3: Cross multiply
    2,411.57x = 3,327.80 × 1,416.75
  4. Step 4: Simplify right side
    2,411.57x = 4,714,653.57
  5. Step 5: Solve for x
    x = 4,714,653.57/2,411.57
  6. Step 6: Final answer
    x = 1,955.02

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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.