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Finding the Fourth Proportional to 2,952.69, 4,425.54 and 1,782.03

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Solution

The fourth proportional to 2,952.69, 4,425.54 and 1,782.03 is: 2,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.69 : 4,425.54 = 1,782.03 : x
  2. Step 2: Convert to fraction form
    2,952.69/4,425.54 = 1,782.03/x
  3. Step 3: Cross multiply
    2,952.69x = 4,425.54 × 1,782.03
  4. Step 4: Simplify right side
    2,952.69x = 7,886,445.05
  5. Step 5: Solve for x
    x = 7,886,445.05/2,952.69
  6. Step 6: Final answer
    x = 2,670.94

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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.