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Finding the Fourth Proportional to 2,677.16, 4,017.02 and 946.60

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Solution

The fourth proportional to 2,677.16, 4,017.02 and 946.60 is: 1,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.16 : 4,017.02 = 946.60 : x
  2. Step 2: Convert to fraction form
    2,677.16/4,017.02 = 946.60/x
  3. Step 3: Cross multiply
    2,677.16x = 4,017.02 × 946.60
  4. Step 4: Simplify right side
    2,677.16x = 3,802,511.13
  5. Step 5: Solve for x
    x = 3,802,511.13/2,677.16
  6. Step 6: Final answer
    x = 1,420.35

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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.