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Finding the Fourth Proportional to 2,702.76, 3,730.02 and 2,345.96

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Solution

The fourth proportional to 2,702.76, 3,730.02 and 2,345.96 is: 3,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.76 : 3,730.02 = 2,345.96 : x
  2. Step 2: Convert to fraction form
    2,702.76/3,730.02 = 2,345.96/x
  3. Step 3: Cross multiply
    2,702.76x = 3,730.02 × 2,345.96
  4. Step 4: Simplify right side
    2,702.76x = 8,750,477.72
  5. Step 5: Solve for x
    x = 8,750,477.72/2,702.76
  6. Step 6: Final answer
    x = 3,237.61

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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.