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Finding the Fourth Proportional to 3,002.99, 4,504.49 and 1,768.93

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Solution

The fourth proportional to 3,002.99, 4,504.49 and 1,768.93 is: 2,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.99 : 4,504.49 = 1,768.93 : x
  2. Step 2: Convert to fraction form
    3,002.99/4,504.49 = 1,768.93/x
  3. Step 3: Cross multiply
    3,002.99x = 4,504.49 × 1,768.93
  4. Step 4: Simplify right side
    3,002.99x = 7,968,127.50
  5. Step 5: Solve for x
    x = 7,968,127.50/3,002.99
  6. Step 6: Final answer
    x = 2,653.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.