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Finding the Fourth Proportional to 2,500.34, 3,750.62 and 651.63

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Solution

The fourth proportional to 2,500.34, 3,750.62 and 651.63 is: 977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.34 : 3,750.62 = 651.63 : x
  2. Step 2: Convert to fraction form
    2,500.34/3,750.62 = 651.63/x
  3. Step 3: Cross multiply
    2,500.34x = 3,750.62 × 651.63
  4. Step 4: Simplify right side
    2,500.34x = 2,444,027.32
  5. Step 5: Solve for x
    x = 2,444,027.32/2,500.34
  6. Step 6: Final answer
    x = 977.48

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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.