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Finding the Fourth Proportional to 3,106.51, 4,657.64 and 1,624.82

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Solution

The fourth proportional to 3,106.51, 4,657.64 and 1,624.82 is: 2,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.51 : 4,657.64 = 1,624.82 : x
  2. Step 2: Convert to fraction form
    3,106.51/4,657.64 = 1,624.82/x
  3. Step 3: Cross multiply
    3,106.51x = 4,657.64 × 1,624.82
  4. Step 4: Simplify right side
    3,106.51x = 7,567,795.21
  5. Step 5: Solve for x
    x = 7,567,795.21/3,106.51
  6. Step 6: Final answer
    x = 2,436.11

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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.