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Finding the Fourth Proportional to 1,834.13, 2,749.13 and 910.35

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Solution

The fourth proportional to 1,834.13, 2,749.13 and 910.35 is: 1,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.13 : 2,749.13 = 910.35 : x
  2. Step 2: Convert to fraction form
    1,834.13/2,749.13 = 910.35/x
  3. Step 3: Cross multiply
    1,834.13x = 2,749.13 × 910.35
  4. Step 4: Simplify right side
    1,834.13x = 2,502,669.36
  5. Step 5: Solve for x
    x = 2,502,669.36/1,834.13
  6. Step 6: Final answer
    x = 1,364.50

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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.