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Finding the Fourth Proportional to 3,356, 5,030.40 and 1,620.80

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Solution

The fourth proportional to 3,356, 5,030.40 and 1,620.80 is: 2,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356 : 5,030.40 = 1,620.80 : x
  2. Step 2: Convert to fraction form
    3,356/5,030.40 = 1,620.80/x
  3. Step 3: Cross multiply
    3,356x = 5,030.40 × 1,620.80
  4. Step 4: Simplify right side
    3,356x = 8,153,272.32
  5. Step 5: Solve for x
    x = 8,153,272.32/3,356
  6. Step 6: Final answer
    x = 2,429.46

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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.