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Finding the Fourth Proportional to 1,830.84, 2,746.86 and 735.48

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Solution

The fourth proportional to 1,830.84, 2,746.86 and 735.48 is: 1,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.84 : 2,746.86 = 735.48 : x
  2. Step 2: Convert to fraction form
    1,830.84/2,746.86 = 735.48/x
  3. Step 3: Cross multiply
    1,830.84x = 2,746.86 × 735.48
  4. Step 4: Simplify right side
    1,830.84x = 2,020,260.59
  5. Step 5: Solve for x
    x = 2,020,260.59/1,830.84
  6. Step 6: Final answer
    x = 1,103.46

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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.