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Finding the Fourth Proportional to 1,897.80, 2,845.52 and 801.60

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Solution

The fourth proportional to 1,897.80, 2,845.52 and 801.60 is: 1,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.80 : 2,845.52 = 801.60 : x
  2. Step 2: Convert to fraction form
    1,897.80/2,845.52 = 801.60/x
  3. Step 3: Cross multiply
    1,897.80x = 2,845.52 × 801.60
  4. Step 4: Simplify right side
    1,897.80x = 2,280,968.83
  5. Step 5: Solve for x
    x = 2,280,968.83/1,897.80
  6. Step 6: Final answer
    x = 1,201.90

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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.