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Finding the Fourth Proportional to 1,897.02, 2,848.50 and 1,804.41

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Solution

The fourth proportional to 1,897.02, 2,848.50 and 1,804.41 is: 2,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.02 : 2,848.50 = 1,804.41 : x
  2. Step 2: Convert to fraction form
    1,897.02/2,848.50 = 1,804.41/x
  3. Step 3: Cross multiply
    1,897.02x = 2,848.50 × 1,804.41
  4. Step 4: Simplify right side
    1,897.02x = 5,139,861.89
  5. Step 5: Solve for x
    x = 5,139,861.89/1,897.02
  6. Step 6: Final answer
    x = 2,709.44

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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.