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Finding the Fourth Proportional to 2,357.41, 3,534.76 and 713.47

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Solution

The fourth proportional to 2,357.41, 3,534.76 and 713.47 is: 1,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.41 : 3,534.76 = 713.47 : x
  2. Step 2: Convert to fraction form
    2,357.41/3,534.76 = 713.47/x
  3. Step 3: Cross multiply
    2,357.41x = 3,534.76 × 713.47
  4. Step 4: Simplify right side
    2,357.41x = 2,521,945.22
  5. Step 5: Solve for x
    x = 2,521,945.22/2,357.41
  6. Step 6: Final answer
    x = 1,069.79

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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.