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Finding the Fourth Proportional to 1,780.55, 2,457.26 and 994.65

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Solution

The fourth proportional to 1,780.55, 2,457.26 and 994.65 is: 1,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.55 : 2,457.26 = 994.65 : x
  2. Step 2: Convert to fraction form
    1,780.55/2,457.26 = 994.65/x
  3. Step 3: Cross multiply
    1,780.55x = 2,457.26 × 994.65
  4. Step 4: Simplify right side
    1,780.55x = 2,444,108.69
  5. Step 5: Solve for x
    x = 2,444,108.69/1,780.55
  6. Step 6: Final answer
    x = 1,372.67

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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.