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Finding the Fourth Proportional to 2,466.06, 3,697.71 and 1,003.50

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Solution

The fourth proportional to 2,466.06, 3,697.71 and 1,003.50 is: 1,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.06 : 3,697.71 = 1,003.50 : x
  2. Step 2: Convert to fraction form
    2,466.06/3,697.71 = 1,003.50/x
  3. Step 3: Cross multiply
    2,466.06x = 3,697.71 × 1,003.50
  4. Step 4: Simplify right side
    2,466.06x = 3,710,651.99
  5. Step 5: Solve for x
    x = 3,710,651.99/2,466.06
  6. Step 6: Final answer
    x = 1,504.69

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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.