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Finding the Fourth Proportional to 2,500.60, 3,750.57 and 651.84

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Solution

The fourth proportional to 2,500.60, 3,750.57 and 651.84 is: 977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.60 : 3,750.57 = 651.84 : x
  2. Step 2: Convert to fraction form
    2,500.60/3,750.57 = 651.84/x
  3. Step 3: Cross multiply
    2,500.60x = 3,750.57 × 651.84
  4. Step 4: Simplify right side
    2,500.60x = 2,444,771.55
  5. Step 5: Solve for x
    x = 2,444,771.55/2,500.60
  6. Step 6: Final answer
    x = 977.67

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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.