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Finding the Fourth Proportional to 2,357.81, 3,534.24 and 1,316.28

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Solution

The fourth proportional to 2,357.81, 3,534.24 and 1,316.28 is: 1,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.81 : 3,534.24 = 1,316.28 : x
  2. Step 2: Convert to fraction form
    2,357.81/3,534.24 = 1,316.28/x
  3. Step 3: Cross multiply
    2,357.81x = 3,534.24 × 1,316.28
  4. Step 4: Simplify right side
    2,357.81x = 4,652,049.43
  5. Step 5: Solve for x
    x = 4,652,049.43/2,357.81
  6. Step 6: Final answer
    x = 1,973.04

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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.