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Finding the Fourth Proportional to 4,606.64, 6,907.56 and 1,643.94

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Solution

The fourth proportional to 4,606.64, 6,907.56 and 1,643.94 is: 2,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.64 : 6,907.56 = 1,643.94 : x
  2. Step 2: Convert to fraction form
    4,606.64/6,907.56 = 1,643.94/x
  3. Step 3: Cross multiply
    4,606.64x = 6,907.56 × 1,643.94
  4. Step 4: Simplify right side
    4,606.64x = 11,355,614.19
  5. Step 5: Solve for x
    x = 11,355,614.19/4,606.64
  6. Step 6: Final answer
    x = 2,465.05

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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.