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Finding the Fourth Proportional to 2,950.34, 4,416.86 and 1,788.26

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Solution

The fourth proportional to 2,950.34, 4,416.86 and 1,788.26 is: 2,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.34 : 4,416.86 = 1,788.26 : x
  2. Step 2: Convert to fraction form
    2,950.34/4,416.86 = 1,788.26/x
  3. Step 3: Cross multiply
    2,950.34x = 4,416.86 × 1,788.26
  4. Step 4: Simplify right side
    2,950.34x = 7,898,476.45
  5. Step 5: Solve for x
    x = 7,898,476.45/2,950.34
  6. Step 6: Final answer
    x = 2,677.15

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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.