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Finding the Fourth Proportional to 1,782.06, 2,673.47 and 904.67

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Solution

The fourth proportional to 1,782.06, 2,673.47 and 904.67 is: 1,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.06 : 2,673.47 = 904.67 : x
  2. Step 2: Convert to fraction form
    1,782.06/2,673.47 = 904.67/x
  3. Step 3: Cross multiply
    1,782.06x = 2,673.47 × 904.67
  4. Step 4: Simplify right side
    1,782.06x = 2,418,616.97
  5. Step 5: Solve for x
    x = 2,418,616.97/1,782.06
  6. Step 6: Final answer
    x = 1,357.21

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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.