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Finding the Fourth Proportional to 2,357.44, 3,534.24 and 2,048.56

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Solution

The fourth proportional to 2,357.44, 3,534.24 and 2,048.56 is: 3,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.44 : 3,534.24 = 2,048.56 : x
  2. Step 2: Convert to fraction form
    2,357.44/3,534.24 = 2,048.56/x
  3. Step 3: Cross multiply
    2,357.44x = 3,534.24 × 2,048.56
  4. Step 4: Simplify right side
    2,357.44x = 7,240,102.69
  5. Step 5: Solve for x
    x = 7,240,102.69/2,357.44
  6. Step 6: Final answer
    x = 3,071.17

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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.