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Finding the Fourth Proportional to 2,369.72, 3,268.80 and 1,705.64

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Solution

The fourth proportional to 2,369.72, 3,268.80 and 1,705.64 is: 2,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.72 : 3,268.80 = 1,705.64 : x
  2. Step 2: Convert to fraction form
    2,369.72/3,268.80 = 1,705.64/x
  3. Step 3: Cross multiply
    2,369.72x = 3,268.80 × 1,705.64
  4. Step 4: Simplify right side
    2,369.72x = 5,575,396.03
  5. Step 5: Solve for x
    x = 5,575,396.03/2,369.72
  6. Step 6: Final answer
    x = 2,352.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.