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Finding the Fourth Proportional to 2,696.51, 4,046.58 and 1,464.32

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Solution

The fourth proportional to 2,696.51, 4,046.58 and 1,464.32 is: 2,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.51 : 4,046.58 = 1,464.32 : x
  2. Step 2: Convert to fraction form
    2,696.51/4,046.58 = 1,464.32/x
  3. Step 3: Cross multiply
    2,696.51x = 4,046.58 × 1,464.32
  4. Step 4: Simplify right side
    2,696.51x = 5,925,467.79
  5. Step 5: Solve for x
    x = 5,925,467.79/2,696.51
  6. Step 6: Final answer
    x = 2,197.46

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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.