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Finding the Fourth Proportional to 4,565.70, 6,848.55 and 1,644.30

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Solution

The fourth proportional to 4,565.70, 6,848.55 and 1,644.30 is: 2,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.70 : 6,848.55 = 1,644.30 : x
  2. Step 2: Convert to fraction form
    4,565.70/6,848.55 = 1,644.30/x
  3. Step 3: Cross multiply
    4,565.70x = 6,848.55 × 1,644.30
  4. Step 4: Simplify right side
    4,565.70x = 11,261,070.77
  5. Step 5: Solve for x
    x = 11,261,070.77/4,565.70
  6. Step 6: Final answer
    x = 2,466.45

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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.