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Finding the Fourth Proportional to 2,300.63, 3,174.93 and 1,252.76

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Solution

The fourth proportional to 2,300.63, 3,174.93 and 1,252.76 is: 1,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.63 : 3,174.93 = 1,252.76 : x
  2. Step 2: Convert to fraction form
    2,300.63/3,174.93 = 1,252.76/x
  3. Step 3: Cross multiply
    2,300.63x = 3,174.93 × 1,252.76
  4. Step 4: Simplify right side
    2,300.63x = 3,977,409.43
  5. Step 5: Solve for x
    x = 3,977,409.43/2,300.63
  6. Step 6: Final answer
    x = 1,728.84

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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.