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Finding the Fourth Proportional to 2,647.51, 3,653.47 and 1,468.52

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Solution

The fourth proportional to 2,647.51, 3,653.47 and 1,468.52 is: 2,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.51 : 3,653.47 = 1,468.52 : x
  2. Step 2: Convert to fraction form
    2,647.51/3,653.47 = 1,468.52/x
  3. Step 3: Cross multiply
    2,647.51x = 3,653.47 × 1,468.52
  4. Step 4: Simplify right side
    2,647.51x = 5,365,186.42
  5. Step 5: Solve for x
    x = 5,365,186.42/2,647.51
  6. Step 6: Final answer
    x = 2,026.51

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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.