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Finding the Fourth Proportional to 1,234.18, 1,852.20 and 454.93

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Solution

The fourth proportional to 1,234.18, 1,852.20 and 454.93 is: 682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.18 : 1,852.20 = 454.93 : x
  2. Step 2: Convert to fraction form
    1,234.18/1,852.20 = 454.93/x
  3. Step 3: Cross multiply
    1,234.18x = 1,852.20 × 454.93
  4. Step 4: Simplify right side
    1,234.18x = 842,621.35
  5. Step 5: Solve for x
    x = 842,621.35/1,234.18
  6. Step 6: Final answer
    x = 682.74

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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.