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Finding the Fourth Proportional to 2,300.33, 3,174.33 and 1,415.81

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Solution

The fourth proportional to 2,300.33, 3,174.33 and 1,415.81 is: 1,953.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.33 : 3,174.33 = 1,415.81 : x
  2. Step 2: Convert to fraction form
    2,300.33/3,174.33 = 1,415.81/x
  3. Step 3: Cross multiply
    2,300.33x = 3,174.33 × 1,415.81
  4. Step 4: Simplify right side
    2,300.33x = 4,494,248.16
  5. Step 5: Solve for x
    x = 4,494,248.16/2,300.33
  6. Step 6: Final answer
    x = 1,953.74

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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.