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Finding the Fourth Proportional to 2,869.94, 4,280.72 and 2,607.50

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Solution

The fourth proportional to 2,869.94, 4,280.72 and 2,607.50 is: 3,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.94 : 4,280.72 = 2,607.50 : x
  2. Step 2: Convert to fraction form
    2,869.94/4,280.72 = 2,607.50/x
  3. Step 3: Cross multiply
    2,869.94x = 4,280.72 × 2,607.50
  4. Step 4: Simplify right side
    2,869.94x = 11,161,977.40
  5. Step 5: Solve for x
    x = 11,161,977.40/2,869.94
  6. Step 6: Final answer
    x = 3,889.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.