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Finding the Fourth Proportional to 2,620, 3,613.44 and 1,570.24

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Solution

The fourth proportional to 2,620, 3,613.44 and 1,570.24 is: 2,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620 : 3,613.44 = 1,570.24 : x
  2. Step 2: Convert to fraction form
    2,620/3,613.44 = 1,570.24/x
  3. Step 3: Cross multiply
    2,620x = 3,613.44 × 1,570.24
  4. Step 4: Simplify right side
    2,620x = 5,673,968.03
  5. Step 5: Solve for x
    x = 5,673,968.03/2,620
  6. Step 6: Final answer
    x = 2,165.64

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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.