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Finding the Fourth Proportional to 1,748.43, 2,412.86 and 951.78

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Solution

The fourth proportional to 1,748.43, 2,412.86 and 951.78 is: 1,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.43 : 2,412.86 = 951.78 : x
  2. Step 2: Convert to fraction form
    1,748.43/2,412.86 = 951.78/x
  3. Step 3: Cross multiply
    1,748.43x = 2,412.86 × 951.78
  4. Step 4: Simplify right side
    1,748.43x = 2,296,495.07
  5. Step 5: Solve for x
    x = 2,296,495.07/1,748.43
  6. Step 6: Final answer
    x = 1,313.47

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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.