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Finding the Fourth Proportional to 1,624.45, 2,437.03 and 893.65

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Solution

The fourth proportional to 1,624.45, 2,437.03 and 893.65 is: 1,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.45 : 2,437.03 = 893.65 : x
  2. Step 2: Convert to fraction form
    1,624.45/2,437.03 = 893.65/x
  3. Step 3: Cross multiply
    1,624.45x = 2,437.03 × 893.65
  4. Step 4: Simplify right side
    1,624.45x = 2,177,846.88
  5. Step 5: Solve for x
    x = 2,177,846.88/1,624.45
  6. Step 6: Final answer
    x = 1,340.67

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1.5x scale

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.