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Finding the Fourth Proportional to 1,829.74, 2,746.05 and 905.26

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Solution

The fourth proportional to 1,829.74, 2,746.05 and 905.26 is: 1,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.74 : 2,746.05 = 905.26 : x
  2. Step 2: Convert to fraction form
    1,829.74/2,746.05 = 905.26/x
  3. Step 3: Cross multiply
    1,829.74x = 2,746.05 × 905.26
  4. Step 4: Simplify right side
    1,829.74x = 2,485,889.22
  5. Step 5: Solve for x
    x = 2,485,889.22/1,829.74
  6. Step 6: Final answer
    x = 1,358.60

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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.