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Finding the Fourth Proportional to 2,499.90, 3,749.83 and 651.00

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Solution

The fourth proportional to 2,499.90, 3,749.83 and 651.00 is: 976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.90 : 3,749.83 = 651.00 : x
  2. Step 2: Convert to fraction form
    2,499.90/3,749.83 = 651.00/x
  3. Step 3: Cross multiply
    2,499.90x = 3,749.83 × 651.00
  4. Step 4: Simplify right side
    2,499.90x = 2,441,151.76
  5. Step 5: Solve for x
    x = 2,441,151.76/2,499.90
  6. Step 6: Final answer
    x = 976.50

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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.