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Finding the Fourth Proportional to 1,658.04, 2,499.21 and 1,519.50

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Solution

The fourth proportional to 1,658.04, 2,499.21 and 1,519.50 is: 2,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.04 : 2,499.21 = 1,519.50 : x
  2. Step 2: Convert to fraction form
    1,658.04/2,499.21 = 1,519.50/x
  3. Step 3: Cross multiply
    1,658.04x = 2,499.21 × 1,519.50
  4. Step 4: Simplify right side
    1,658.04x = 3,797,549.60
  5. Step 5: Solve for x
    x = 3,797,549.60/1,658.04
  6. Step 6: Final answer
    x = 2,290.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.