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Finding the Fourth Proportional to 1,930.09, 2,895.13 and 469.23

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Solution

The fourth proportional to 1,930.09, 2,895.13 and 469.23 is: 703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.09 : 2,895.13 = 469.23 : x
  2. Step 2: Convert to fraction form
    1,930.09/2,895.13 = 469.23/x
  3. Step 3: Cross multiply
    1,930.09x = 2,895.13 × 469.23
  4. Step 4: Simplify right side
    1,930.09x = 1,358,481.85
  5. Step 5: Solve for x
    x = 1,358,481.85/1,930.09
  6. Step 6: Final answer
    x = 703.84

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