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Finding the Fourth Proportional to 1,566.10, 2,161.23 and 902.94

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Solution

The fourth proportional to 1,566.10, 2,161.23 and 902.94 is: 1,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.10 : 2,161.23 = 902.94 : x
  2. Step 2: Convert to fraction form
    1,566.10/2,161.23 = 902.94/x
  3. Step 3: Cross multiply
    1,566.10x = 2,161.23 × 902.94
  4. Step 4: Simplify right side
    1,566.10x = 1,951,450.21
  5. Step 5: Solve for x
    x = 1,951,450.21/1,566.10
  6. Step 6: Final answer
    x = 1,246.06

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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.