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Finding the Fourth Proportional to 1,835.04, 2,749.86 and 967.26

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Solution

The fourth proportional to 1,835.04, 2,749.86 and 967.26 is: 1,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.04 : 2,749.86 = 967.26 : x
  2. Step 2: Convert to fraction form
    1,835.04/2,749.86 = 967.26/x
  3. Step 3: Cross multiply
    1,835.04x = 2,749.86 × 967.26
  4. Step 4: Simplify right side
    1,835.04x = 2,659,829.58
  5. Step 5: Solve for x
    x = 2,659,829.58/1,835.04
  6. Step 6: Final answer
    x = 1,449.47

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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.