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Finding the Fourth Proportional to 2,458.64, 3,689.76 and 1,844

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Solution

The fourth proportional to 2,458.64, 3,689.76 and 1,844 is: 2,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.64 : 3,689.76 = 1,844 : x
  2. Step 2: Convert to fraction form
    2,458.64/3,689.76 = 1,844/x
  3. Step 3: Cross multiply
    2,458.64x = 3,689.76 × 1,844
  4. Step 4: Simplify right side
    2,458.64x = 6,803,917.44
  5. Step 5: Solve for x
    x = 6,803,917.44/2,458.64
  6. Step 6: Final answer
    x = 2,767.35

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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.