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Finding the Fourth Proportional to 2,300.16, 3,174.18 and 2,111.87

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Solution

The fourth proportional to 2,300.16, 3,174.18 and 2,111.87 is: 2,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.16 : 3,174.18 = 2,111.87 : x
  2. Step 2: Convert to fraction form
    2,300.16/3,174.18 = 2,111.87/x
  3. Step 3: Cross multiply
    2,300.16x = 3,174.18 × 2,111.87
  4. Step 4: Simplify right side
    2,300.16x = 6,703,455.53
  5. Step 5: Solve for x
    x = 6,703,455.53/2,300.16
  6. Step 6: Final answer
    x = 2,914.34

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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.