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Finding the Fourth Proportional to 2,123.16, 2,903.97 and 2,089.14

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Solution

The fourth proportional to 2,123.16, 2,903.97 and 2,089.14 is: 2,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.16 : 2,903.97 = 2,089.14 : x
  2. Step 2: Convert to fraction form
    2,123.16/2,903.97 = 2,089.14/x
  3. Step 3: Cross multiply
    2,123.16x = 2,903.97 × 2,089.14
  4. Step 4: Simplify right side
    2,123.16x = 6,066,799.89
  5. Step 5: Solve for x
    x = 6,066,799.89/2,123.16
  6. Step 6: Final answer
    x = 2,857.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.