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Finding the Fourth Proportional to 2,394.26, 3,595.44 and 1,471.68

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Solution

The fourth proportional to 2,394.26, 3,595.44 and 1,471.68 is: 2,210.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.26 : 3,595.44 = 1,471.68 : x
  2. Step 2: Convert to fraction form
    2,394.26/3,595.44 = 1,471.68/x
  3. Step 3: Cross multiply
    2,394.26x = 3,595.44 × 1,471.68
  4. Step 4: Simplify right side
    2,394.26x = 5,291,337.14
  5. Step 5: Solve for x
    x = 5,291,337.14/2,394.26
  6. Step 6: Final answer
    x = 2,210.01

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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.