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Finding the Fourth Proportional to 2,133.63, 2,938.50 and 1,838.79

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Solution

The fourth proportional to 2,133.63, 2,938.50 and 1,838.79 is: 2,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.63 : 2,938.50 = 1,838.79 : x
  2. Step 2: Convert to fraction form
    2,133.63/2,938.50 = 1,838.79/x
  3. Step 3: Cross multiply
    2,133.63x = 2,938.50 × 1,838.79
  4. Step 4: Simplify right side
    2,133.63x = 5,403,284.42
  5. Step 5: Solve for x
    x = 5,403,284.42/2,133.63
  6. Step 6: Final answer
    x = 2,532.44

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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.