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Finding the Fourth Proportional to 4,599.34, 6,901.98 and 1,677.40

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Solution

The fourth proportional to 4,599.34, 6,901.98 and 1,677.40 is: 2,517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.34 : 6,901.98 = 1,677.40 : x
  2. Step 2: Convert to fraction form
    4,599.34/6,901.98 = 1,677.40/x
  3. Step 3: Cross multiply
    4,599.34x = 6,901.98 × 1,677.40
  4. Step 4: Simplify right side
    4,599.34x = 11,577,381.25
  5. Step 5: Solve for x
    x = 11,577,381.25/4,599.34
  6. Step 6: Final answer
    x = 2,517.18

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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.