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Finding the Fourth Proportional to 3,346.78, 4,618 and 2,152.03

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Solution

The fourth proportional to 3,346.78, 4,618 and 2,152.03 is: 2,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.78 : 4,618 = 2,152.03 : x
  2. Step 2: Convert to fraction form
    3,346.78/4,618 = 2,152.03/x
  3. Step 3: Cross multiply
    3,346.78x = 4,618 × 2,152.03
  4. Step 4: Simplify right side
    3,346.78x = 9,938,074.54
  5. Step 5: Solve for x
    x = 9,938,074.54/3,346.78
  6. Step 6: Final answer
    x = 2,969.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.