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Finding the Fourth Proportional to 2,826.48, 3,897.96 and 1,762.88

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Solution

The fourth proportional to 2,826.48, 3,897.96 and 1,762.88 is: 2,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.48 : 3,897.96 = 1,762.88 : x
  2. Step 2: Convert to fraction form
    2,826.48/3,897.96 = 1,762.88/x
  3. Step 3: Cross multiply
    2,826.48x = 3,897.96 × 1,762.88
  4. Step 4: Simplify right side
    2,826.48x = 6,871,635.72
  5. Step 5: Solve for x
    x = 6,871,635.72/2,826.48
  6. Step 6: Final answer
    x = 2,431.16

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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.