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Finding the Fourth Proportional to 1,218.30, 1,828.62 and 670.38

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Solution

The fourth proportional to 1,218.30, 1,828.62 and 670.38 is: 1,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.30 : 1,828.62 = 670.38 : x
  2. Step 2: Convert to fraction form
    1,218.30/1,828.62 = 670.38/x
  3. Step 3: Cross multiply
    1,218.30x = 1,828.62 × 670.38
  4. Step 4: Simplify right side
    1,218.30x = 1,225,870.28
  5. Step 5: Solve for x
    x = 1,225,870.28/1,218.30
  6. Step 6: Final answer
    x = 1,006.21

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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.