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Finding the Fourth Proportional to 1,897.56, 2,617.02 and 1,426.60

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Solution

The fourth proportional to 1,897.56, 2,617.02 and 1,426.60 is: 1,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.56 : 2,617.02 = 1,426.60 : x
  2. Step 2: Convert to fraction form
    1,897.56/2,617.02 = 1,426.60/x
  3. Step 3: Cross multiply
    1,897.56x = 2,617.02 × 1,426.60
  4. Step 4: Simplify right side
    1,897.56x = 3,733,440.73
  5. Step 5: Solve for x
    x = 3,733,440.73/1,897.56
  6. Step 6: Final answer
    x = 1,967.50

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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.