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Finding the Fourth Proportional to 2,305.48, 3,458.72 and 844.64

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Solution

The fourth proportional to 2,305.48, 3,458.72 and 844.64 is: 1,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.48 : 3,458.72 = 844.64 : x
  2. Step 2: Convert to fraction form
    2,305.48/3,458.72 = 844.64/x
  3. Step 3: Cross multiply
    2,305.48x = 3,458.72 × 844.64
  4. Step 4: Simplify right side
    2,305.48x = 2,921,373.26
  5. Step 5: Solve for x
    x = 2,921,373.26/2,305.48
  6. Step 6: Final answer
    x = 1,267.14

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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.