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Finding the Fourth Proportional to 1,473.07, 2,209.67 and 377.44

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Solution

The fourth proportional to 1,473.07, 2,209.67 and 377.44 is: 566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.07 : 2,209.67 = 377.44 : x
  2. Step 2: Convert to fraction form
    1,473.07/2,209.67 = 377.44/x
  3. Step 3: Cross multiply
    1,473.07x = 2,209.67 × 377.44
  4. Step 4: Simplify right side
    1,473.07x = 834,017.84
  5. Step 5: Solve for x
    x = 834,017.84/1,473.07
  6. Step 6: Final answer
    x = 566.18

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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.