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Finding the Fourth Proportional to 2,670.25, 4,006.82 and 1,302.25

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Solution

The fourth proportional to 2,670.25, 4,006.82 and 1,302.25 is: 1,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.25 : 4,006.82 = 1,302.25 : x
  2. Step 2: Convert to fraction form
    2,670.25/4,006.82 = 1,302.25/x
  3. Step 3: Cross multiply
    2,670.25x = 4,006.82 × 1,302.25
  4. Step 4: Simplify right side
    2,670.25x = 5,217,881.35
  5. Step 5: Solve for x
    x = 5,217,881.35/2,670.25
  6. Step 6: Final answer
    x = 1,954.08

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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.