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Finding the Fourth Proportional to 1,826.16, 2,736.76 and 837.76

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Solution

The fourth proportional to 1,826.16, 2,736.76 and 837.76 is: 1,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.16 : 2,736.76 = 837.76 : x
  2. Step 2: Convert to fraction form
    1,826.16/2,736.76 = 837.76/x
  3. Step 3: Cross multiply
    1,826.16x = 2,736.76 × 837.76
  4. Step 4: Simplify right side
    1,826.16x = 2,292,748.06
  5. Step 5: Solve for x
    x = 2,292,748.06/1,826.16
  6. Step 6: Final answer
    x = 1,255.50

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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.