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Finding the Fourth Proportional to 2,840.64, 4,262.40 and 1,302.72

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Solution

The fourth proportional to 2,840.64, 4,262.40 and 1,302.72 is: 1,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.64 : 4,262.40 = 1,302.72 : x
  2. Step 2: Convert to fraction form
    2,840.64/4,262.40 = 1,302.72/x
  3. Step 3: Cross multiply
    2,840.64x = 4,262.40 × 1,302.72
  4. Step 4: Simplify right side
    2,840.64x = 5,552,713.73
  5. Step 5: Solve for x
    x = 5,552,713.73/2,840.64
  6. Step 6: Final answer
    x = 1,954.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.