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Finding the Fourth Proportional to 1,775.64, 2,450.43 and 989.67

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Solution

The fourth proportional to 1,775.64, 2,450.43 and 989.67 is: 1,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.64 : 2,450.43 = 989.67 : x
  2. Step 2: Convert to fraction form
    1,775.64/2,450.43 = 989.67/x
  3. Step 3: Cross multiply
    1,775.64x = 2,450.43 × 989.67
  4. Step 4: Simplify right side
    1,775.64x = 2,425,117.06
  5. Step 5: Solve for x
    x = 2,425,117.06/1,775.64
  6. Step 6: Final answer
    x = 1,365.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.