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Finding the Fourth Proportional to 3,052.99, 4,213.15 and 1,655.74

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Solution

The fourth proportional to 3,052.99, 4,213.15 and 1,655.74 is: 2,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.99 : 4,213.15 = 1,655.74 : x
  2. Step 2: Convert to fraction form
    3,052.99/4,213.15 = 1,655.74/x
  3. Step 3: Cross multiply
    3,052.99x = 4,213.15 × 1,655.74
  4. Step 4: Simplify right side
    3,052.99x = 6,975,880.98
  5. Step 5: Solve for x
    x = 6,975,880.98/3,052.99
  6. Step 6: Final answer
    x = 2,284.93

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Why These Related Problems?

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