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Finding the Fourth Proportional to 2,300.67, 3,175.00 and 1,415.81

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Solution

The fourth proportional to 2,300.67, 3,175.00 and 1,415.81 is: 1,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.67 : 3,175.00 = 1,415.81 : x
  2. Step 2: Convert to fraction form
    2,300.67/3,175.00 = 1,415.81/x
  3. Step 3: Cross multiply
    2,300.67x = 3,175.00 × 1,415.81
  4. Step 4: Simplify right side
    2,300.67x = 4,495,201.15
  5. Step 5: Solve for x
    x = 4,495,201.15/2,300.67
  6. Step 6: Final answer
    x = 1,953.87

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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.