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Finding the Fourth Proportional to 2,677.64, 4,015 and 1,215.98

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Solution

The fourth proportional to 2,677.64, 4,015 and 1,215.98 is: 1,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.64 : 4,015 = 1,215.98 : x
  2. Step 2: Convert to fraction form
    2,677.64/4,015 = 1,215.98/x
  3. Step 3: Cross multiply
    2,677.64x = 4,015 × 1,215.98
  4. Step 4: Simplify right side
    2,677.64x = 4,882,159.70
  5. Step 5: Solve for x
    x = 4,882,159.70/2,677.64
  6. Step 6: Final answer
    x = 1,823.31

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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.