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Finding the Fourth Proportional to 4,599.81, 6,897.56 and 1,677.74

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Solution

The fourth proportional to 4,599.81, 6,897.56 and 1,677.74 is: 2,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.81 : 6,897.56 = 1,677.74 : x
  2. Step 2: Convert to fraction form
    4,599.81/6,897.56 = 1,677.74/x
  3. Step 3: Cross multiply
    4,599.81x = 6,897.56 × 1,677.74
  4. Step 4: Simplify right side
    4,599.81x = 11,572,269.44
  5. Step 5: Solve for x
    x = 11,572,269.44/4,599.81
  6. Step 6: Final answer
    x = 2,515.81

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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.