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Finding the Fourth Proportional to 2,412.81, 3,329.58 and 1,364.89

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Solution

The fourth proportional to 2,412.81, 3,329.58 and 1,364.89 is: 1,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.81 : 3,329.58 = 1,364.89 : x
  2. Step 2: Convert to fraction form
    2,412.81/3,329.58 = 1,364.89/x
  3. Step 3: Cross multiply
    2,412.81x = 3,329.58 × 1,364.89
  4. Step 4: Simplify right side
    2,412.81x = 4,544,510.45
  5. Step 5: Solve for x
    x = 4,544,510.45/2,412.81
  6. Step 6: Final answer
    x = 1,883.49

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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.