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Finding the Fourth Proportional to 2,975.93, 4,463.93 and 1,416.09

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Solution

The fourth proportional to 2,975.93, 4,463.93 and 1,416.09 is: 2,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.93 : 4,463.93 = 1,416.09 : x
  2. Step 2: Convert to fraction form
    2,975.93/4,463.93 = 1,416.09/x
  3. Step 3: Cross multiply
    2,975.93x = 4,463.93 × 1,416.09
  4. Step 4: Simplify right side
    2,975.93x = 6,321,326.63
  5. Step 5: Solve for x
    x = 6,321,326.63/2,975.93
  6. Step 6: Final answer
    x = 2,124.15

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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.