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Finding the Fourth Proportional to 2,678.34, 4,017.54 and 946.98

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Solution

The fourth proportional to 2,678.34, 4,017.54 and 946.98 is: 1,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.34 : 4,017.54 = 946.98 : x
  2. Step 2: Convert to fraction form
    2,678.34/4,017.54 = 946.98/x
  3. Step 3: Cross multiply
    2,678.34x = 4,017.54 × 946.98
  4. Step 4: Simplify right side
    2,678.34x = 3,804,530.03
  5. Step 5: Solve for x
    x = 3,804,530.03/2,678.34
  6. Step 6: Final answer
    x = 1,420.48

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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.