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Finding the Fourth Proportional to 3,069.12, 4,595.10 and 1,658.48

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Solution

The fourth proportional to 3,069.12, 4,595.10 and 1,658.48 is: 2,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.12 : 4,595.10 = 1,658.48 : x
  2. Step 2: Convert to fraction form
    3,069.12/4,595.10 = 1,658.48/x
  3. Step 3: Cross multiply
    3,069.12x = 4,595.10 × 1,658.48
  4. Step 4: Simplify right side
    3,069.12x = 7,620,892.94
  5. Step 5: Solve for x
    x = 7,620,892.94/3,069.12
  6. Step 6: Final answer
    x = 2,483.09

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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.