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Finding the Fourth Proportional to 2,678.26, 4,017.93 and 946.84

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Solution

The fourth proportional to 2,678.26, 4,017.93 and 946.84 is: 1,420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.26 : 4,017.93 = 946.84 : x
  2. Step 2: Convert to fraction form
    2,678.26/4,017.93 = 946.84/x
  3. Step 3: Cross multiply
    2,678.26x = 4,017.93 × 946.84
  4. Step 4: Simplify right side
    2,678.26x = 3,804,336.84
  5. Step 5: Solve for x
    x = 3,804,336.84/2,678.26
  6. Step 6: Final answer
    x = 1,420.45

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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.