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Finding the Fourth Proportional to 2,999.84, 4,501.80 and 1,052.06

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Solution

The fourth proportional to 2,999.84, 4,501.80 and 1,052.06 is: 1,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.84 : 4,501.80 = 1,052.06 : x
  2. Step 2: Convert to fraction form
    2,999.84/4,501.80 = 1,052.06/x
  3. Step 3: Cross multiply
    2,999.84x = 4,501.80 × 1,052.06
  4. Step 4: Simplify right side
    2,999.84x = 4,736,163.71
  5. Step 5: Solve for x
    x = 4,736,163.71/2,999.84
  6. Step 6: Final answer
    x = 1,578.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.