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Finding the Fourth Proportional to 4,461.68, 6,692.58 and 1,689.66

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Solution

The fourth proportional to 4,461.68, 6,692.58 and 1,689.66 is: 2,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.68 : 6,692.58 = 1,689.66 : x
  2. Step 2: Convert to fraction form
    4,461.68/6,692.58 = 1,689.66/x
  3. Step 3: Cross multiply
    4,461.68x = 6,692.58 × 1,689.66
  4. Step 4: Simplify right side
    4,461.68x = 11,308,184.72
  5. Step 5: Solve for x
    x = 11,308,184.72/4,461.68
  6. Step 6: Final answer
    x = 2,534.52

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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.