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Finding the Fourth Proportional to 1,830.74, 2,746.38 and 735.90

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Solution

The fourth proportional to 1,830.74, 2,746.38 and 735.90 is: 1,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.74 : 2,746.38 = 735.90 : x
  2. Step 2: Convert to fraction form
    1,830.74/2,746.38 = 735.90/x
  3. Step 3: Cross multiply
    1,830.74x = 2,746.38 × 735.90
  4. Step 4: Simplify right side
    1,830.74x = 2,021,061.04
  5. Step 5: Solve for x
    x = 2,021,061.04/1,830.74
  6. Step 6: Final answer
    x = 1,103.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.