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Finding the Fourth Proportional to 2,914.26, 4,368.64 and 965.40

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Solution

The fourth proportional to 2,914.26, 4,368.64 and 965.40 is: 1,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.26 : 4,368.64 = 965.40 : x
  2. Step 2: Convert to fraction form
    2,914.26/4,368.64 = 965.40/x
  3. Step 3: Cross multiply
    2,914.26x = 4,368.64 × 965.40
  4. Step 4: Simplify right side
    2,914.26x = 4,217,485.06
  5. Step 5: Solve for x
    x = 4,217,485.06/2,914.26
  6. Step 6: Final answer
    x = 1,447.19

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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.