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Finding the Fourth Proportional to 2,702.63, 4,052.40 and 1,607.76

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Solution

The fourth proportional to 2,702.63, 4,052.40 and 1,607.76 is: 2,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.63 : 4,052.40 = 1,607.76 : x
  2. Step 2: Convert to fraction form
    2,702.63/4,052.40 = 1,607.76/x
  3. Step 3: Cross multiply
    2,702.63x = 4,052.40 × 1,607.76
  4. Step 4: Simplify right side
    2,702.63x = 6,515,286.62
  5. Step 5: Solve for x
    x = 6,515,286.62/2,702.63
  6. Step 6: Final answer
    x = 2,410.72

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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.