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Finding the Fourth Proportional to 4,658.20, 6,985.95 and 1,696.30

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Solution

The fourth proportional to 4,658.20, 6,985.95 and 1,696.30 is: 2,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.20 : 6,985.95 = 1,696.30 : x
  2. Step 2: Convert to fraction form
    4,658.20/6,985.95 = 1,696.30/x
  3. Step 3: Cross multiply
    4,658.20x = 6,985.95 × 1,696.30
  4. Step 4: Simplify right side
    4,658.20x = 11,850,266.99
  5. Step 5: Solve for x
    x = 11,850,266.99/4,658.20
  6. Step 6: Final answer
    x = 2,543.96

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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.