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Finding the Fourth Proportional to 2,299.93, 3,153.16 and 2,258.40

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Solution

The fourth proportional to 2,299.93, 3,153.16 and 2,258.40 is: 3,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.93 : 3,153.16 = 2,258.40 : x
  2. Step 2: Convert to fraction form
    2,299.93/3,153.16 = 2,258.40/x
  3. Step 3: Cross multiply
    2,299.93x = 3,153.16 × 2,258.40
  4. Step 4: Simplify right side
    2,299.93x = 7,121,111.19
  5. Step 5: Solve for x
    x = 7,121,111.19/2,299.93
  6. Step 6: Final answer
    x = 3,096.23

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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.