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Finding the Fourth Proportional to 2,357.31, 3,254.72 and 1,473.51

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Solution

The fourth proportional to 2,357.31, 3,254.72 and 1,473.51 is: 2,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.31 : 3,254.72 = 1,473.51 : x
  2. Step 2: Convert to fraction form
    2,357.31/3,254.72 = 1,473.51/x
  3. Step 3: Cross multiply
    2,357.31x = 3,254.72 × 1,473.51
  4. Step 4: Simplify right side
    2,357.31x = 4,795,855.10
  5. Step 5: Solve for x
    x = 4,795,855.10/2,357.31
  6. Step 6: Final answer
    x = 2,034.46

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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.