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Finding the Fourth Proportional to 2,651.64, 3,657.18 and 1,854.72

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Solution

The fourth proportional to 2,651.64, 3,657.18 and 1,854.72 is: 2,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.64 : 3,657.18 = 1,854.72 : x
  2. Step 2: Convert to fraction form
    2,651.64/3,657.18 = 1,854.72/x
  3. Step 3: Cross multiply
    2,651.64x = 3,657.18 × 1,854.72
  4. Step 4: Simplify right side
    2,651.64x = 6,783,044.89
  5. Step 5: Solve for x
    x = 6,783,044.89/2,651.64
  6. Step 6: Final answer
    x = 2,558.06

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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.