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Finding the Fourth Proportional to 1,830, 2,746.26 and 675.84

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Solution

The fourth proportional to 1,830, 2,746.26 and 675.84 is: 1,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830 : 2,746.26 = 675.84 : x
  2. Step 2: Convert to fraction form
    1,830/2,746.26 = 675.84/x
  3. Step 3: Cross multiply
    1,830x = 2,746.26 × 675.84
  4. Step 4: Simplify right side
    1,830x = 1,856,032.36
  5. Step 5: Solve for x
    x = 1,856,032.36/1,830
  6. Step 6: Final answer
    x = 1,014.23

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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.