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Finding the Fourth Proportional to 2,083.59, 3,124.98 and 1,425.06

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Solution

The fourth proportional to 2,083.59, 3,124.98 and 1,425.06 is: 2,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.59 : 3,124.98 = 1,425.06 : x
  2. Step 2: Convert to fraction form
    2,083.59/3,124.98 = 1,425.06/x
  3. Step 3: Cross multiply
    2,083.59x = 3,124.98 × 1,425.06
  4. Step 4: Simplify right side
    2,083.59x = 4,453,284.00
  5. Step 5: Solve for x
    x = 4,453,284.00/2,083.59
  6. Step 6: Final answer
    x = 2,137.31

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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.