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Finding the Fourth Proportional to 4,653.40, 6,977.70 and 1,730.20

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Solution

The fourth proportional to 4,653.40, 6,977.70 and 1,730.20 is: 2,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.40 : 6,977.70 = 1,730.20 : x
  2. Step 2: Convert to fraction form
    4,653.40/6,977.70 = 1,730.20/x
  3. Step 3: Cross multiply
    4,653.40x = 6,977.70 × 1,730.20
  4. Step 4: Simplify right side
    4,653.40x = 12,072,816.54
  5. Step 5: Solve for x
    x = 12,072,816.54/4,653.40
  6. Step 6: Final answer
    x = 2,594.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.