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Finding the Fourth Proportional to 2,100.94, 2,898.59 and 1,216.42

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Solution

The fourth proportional to 2,100.94, 2,898.59 and 1,216.42 is: 1,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.94 : 2,898.59 = 1,216.42 : x
  2. Step 2: Convert to fraction form
    2,100.94/2,898.59 = 1,216.42/x
  3. Step 3: Cross multiply
    2,100.94x = 2,898.59 × 1,216.42
  4. Step 4: Simplify right side
    2,100.94x = 3,525,889.52
  5. Step 5: Solve for x
    x = 3,525,889.52/2,100.94
  6. Step 6: Final answer
    x = 1,678.25

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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.