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Finding the Fourth Proportional to 4,604.51, 6,907 and 1,318.09

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Solution

The fourth proportional to 4,604.51, 6,907 and 1,318.09 is: 1,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.51 : 6,907 = 1,318.09 : x
  2. Step 2: Convert to fraction form
    4,604.51/6,907 = 1,318.09/x
  3. Step 3: Cross multiply
    4,604.51x = 6,907 × 1,318.09
  4. Step 4: Simplify right side
    4,604.51x = 9,104,047.63
  5. Step 5: Solve for x
    x = 9,104,047.63/4,604.51
  6. Step 6: Final answer
    x = 1,977.20

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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.