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Finding the Fourth Proportional to 2,214.51, 3,056.18 and 1,283.01

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Solution

The fourth proportional to 2,214.51, 3,056.18 and 1,283.01 is: 1,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.51 : 3,056.18 = 1,283.01 : x
  2. Step 2: Convert to fraction form
    2,214.51/3,056.18 = 1,283.01/x
  3. Step 3: Cross multiply
    2,214.51x = 3,056.18 × 1,283.01
  4. Step 4: Simplify right side
    2,214.51x = 3,921,103.09
  5. Step 5: Solve for x
    x = 3,921,103.09/2,214.51
  6. Step 6: Final answer
    x = 1,770.64

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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.