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Finding the Fourth Proportional to 1,621, 2,230.50 and 1,575.64

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Solution

The fourth proportional to 1,621, 2,230.50 and 1,575.64 is: 2,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621 : 2,230.50 = 1,575.64 : x
  2. Step 2: Convert to fraction form
    1,621/2,230.50 = 1,575.64/x
  3. Step 3: Cross multiply
    1,621x = 2,230.50 × 1,575.64
  4. Step 4: Simplify right side
    1,621x = 3,514,465.02
  5. Step 5: Solve for x
    x = 3,514,465.02/1,621
  6. Step 6: Final answer
    x = 2,168.08

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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.