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Finding the Fourth Proportional to 3,071.06, 4,600.68 and 1,897.64

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Solution

The fourth proportional to 3,071.06, 4,600.68 and 1,897.64 is: 2,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.06 : 4,600.68 = 1,897.64 : x
  2. Step 2: Convert to fraction form
    3,071.06/4,600.68 = 1,897.64/x
  3. Step 3: Cross multiply
    3,071.06x = 4,600.68 × 1,897.64
  4. Step 4: Simplify right side
    3,071.06x = 8,730,434.40
  5. Step 5: Solve for x
    x = 8,730,434.40/3,071.06
  6. Step 6: Final answer
    x = 2,842.81

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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.