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Finding the Fourth Proportional to 4,653.56, 6,980.63 and 1,731.89

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Solution

The fourth proportional to 4,653.56, 6,980.63 and 1,731.89 is: 2,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.56 : 6,980.63 = 1,731.89 : x
  2. Step 2: Convert to fraction form
    4,653.56/6,980.63 = 1,731.89/x
  3. Step 3: Cross multiply
    4,653.56x = 6,980.63 × 1,731.89
  4. Step 4: Simplify right side
    4,653.56x = 12,089,639.73
  5. Step 5: Solve for x
    x = 12,089,639.73/4,653.56
  6. Step 6: Final answer
    x = 2,597.94

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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.