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Finding the Fourth Proportional to 2,256.84, 3,114.13 and 1,262.07

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Solution

The fourth proportional to 2,256.84, 3,114.13 and 1,262.07 is: 1,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.84 : 3,114.13 = 1,262.07 : x
  2. Step 2: Convert to fraction form
    2,256.84/3,114.13 = 1,262.07/x
  3. Step 3: Cross multiply
    2,256.84x = 3,114.13 × 1,262.07
  4. Step 4: Simplify right side
    2,256.84x = 3,930,250.05
  5. Step 5: Solve for x
    x = 3,930,250.05/2,256.84
  6. Step 6: Final answer
    x = 1,741.48

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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.