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Finding the Fourth Proportional to 4,600.60, 6,897.04 and 2,001.60

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Solution

The fourth proportional to 4,600.60, 6,897.04 and 2,001.60 is: 3,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.60 : 6,897.04 = 2,001.60 : x
  2. Step 2: Convert to fraction form
    4,600.60/6,897.04 = 2,001.60/x
  3. Step 3: Cross multiply
    4,600.60x = 6,897.04 × 2,001.60
  4. Step 4: Simplify right side
    4,600.60x = 13,805,115.26
  5. Step 5: Solve for x
    x = 13,805,115.26/4,600.60
  6. Step 6: Final answer
    x = 3,000.72

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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.