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Finding the Fourth Proportional to 1,830.17, 2,746.68 and 735.25

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Solution

The fourth proportional to 1,830.17, 2,746.68 and 735.25 is: 1,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.17 : 2,746.68 = 735.25 : x
  2. Step 2: Convert to fraction form
    1,830.17/2,746.68 = 735.25/x
  3. Step 3: Cross multiply
    1,830.17x = 2,746.68 × 735.25
  4. Step 4: Simplify right side
    1,830.17x = 2,019,479.06
  5. Step 5: Solve for x
    x = 2,019,479.06/1,830.17
  6. Step 6: Final answer
    x = 1,103.44

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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.