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Finding the Fourth Proportional to 2,283.51, 3,425.40 and 1,114.51

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Solution

The fourth proportional to 2,283.51, 3,425.40 and 1,114.51 is: 1,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.51 : 3,425.40 = 1,114.51 : x
  2. Step 2: Convert to fraction form
    2,283.51/3,425.40 = 1,114.51/x
  3. Step 3: Cross multiply
    2,283.51x = 3,425.40 × 1,114.51
  4. Step 4: Simplify right side
    2,283.51x = 3,817,642.66
  5. Step 5: Solve for x
    x = 3,817,642.66/2,283.51
  6. Step 6: Final answer
    x = 1,671.83

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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.