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Finding the Fourth Proportional to 1,841.55, 2,762.21 and 746.00

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Solution

The fourth proportional to 1,841.55, 2,762.21 and 746.00 is: 1,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.55 : 2,762.21 = 746.00 : x
  2. Step 2: Convert to fraction form
    1,841.55/2,762.21 = 746.00/x
  3. Step 3: Cross multiply
    1,841.55x = 2,762.21 × 746.00
  4. Step 4: Simplify right side
    1,841.55x = 2,060,617.43
  5. Step 5: Solve for x
    x = 2,060,617.43/1,841.55
  6. Step 6: Final answer
    x = 1,118.96

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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.