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Finding the Fourth Proportional to 2,137.09, 3,205.05 and 904.45

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Solution

The fourth proportional to 2,137.09, 3,205.05 and 904.45 is: 1,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.09 : 3,205.05 = 904.45 : x
  2. Step 2: Convert to fraction form
    2,137.09/3,205.05 = 904.45/x
  3. Step 3: Cross multiply
    2,137.09x = 3,205.05 × 904.45
  4. Step 4: Simplify right side
    2,137.09x = 2,898,807.47
  5. Step 5: Solve for x
    x = 2,898,807.47/2,137.09
  6. Step 6: Final answer
    x = 1,356.43

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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.