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Finding the Fourth Proportional to 1,775.59, 2,450.31 and 989.62

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Solution

The fourth proportional to 1,775.59, 2,450.31 and 989.62 is: 1,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.59 : 2,450.31 = 989.62 : x
  2. Step 2: Convert to fraction form
    1,775.59/2,450.31 = 989.62/x
  3. Step 3: Cross multiply
    1,775.59x = 2,450.31 × 989.62
  4. Step 4: Simplify right side
    1,775.59x = 2,424,863.53
  5. Step 5: Solve for x
    x = 2,424,863.53/1,775.59
  6. Step 6: Final answer
    x = 1,365.67

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1.5x scale

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.