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Finding the Fourth Proportional to 4,602.41, 6,901.23 and 1,639.73

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Solution

The fourth proportional to 4,602.41, 6,901.23 and 1,639.73 is: 2,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.41 : 6,901.23 = 1,639.73 : x
  2. Step 2: Convert to fraction form
    4,602.41/6,901.23 = 1,639.73/x
  3. Step 3: Cross multiply
    4,602.41x = 6,901.23 × 1,639.73
  4. Step 4: Simplify right side
    4,602.41x = 11,316,153.87
  5. Step 5: Solve for x
    x = 11,316,153.87/4,602.41
  6. Step 6: Final answer
    x = 2,458.75

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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.