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Finding the Fourth Proportional to 2,014.94, 2,776.75 and 1,454.36

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Solution

The fourth proportional to 2,014.94, 2,776.75 and 1,454.36 is: 2,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.94 : 2,776.75 = 1,454.36 : x
  2. Step 2: Convert to fraction form
    2,014.94/2,776.75 = 1,454.36/x
  3. Step 3: Cross multiply
    2,014.94x = 2,776.75 × 1,454.36
  4. Step 4: Simplify right side
    2,014.94x = 4,038,376.61
  5. Step 5: Solve for x
    x = 4,038,376.61/2,014.94
  6. Step 6: Final answer
    x = 2,004.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.