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Finding the Fourth Proportional to 4,566.88, 6,848.64 and 1,644.40

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Solution

The fourth proportional to 4,566.88, 6,848.64 and 1,644.40 is: 2,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.88 : 6,848.64 = 1,644.40 : x
  2. Step 2: Convert to fraction form
    4,566.88/6,848.64 = 1,644.40/x
  3. Step 3: Cross multiply
    4,566.88x = 6,848.64 × 1,644.40
  4. Step 4: Simplify right side
    4,566.88x = 11,261,903.62
  5. Step 5: Solve for x
    x = 11,261,903.62/4,566.88
  6. Step 6: Final answer
    x = 2,466.00

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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.