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Finding the Fourth Proportional to 2,402.99, 3,316.51 and 1,408.31

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Solution

The fourth proportional to 2,402.99, 3,316.51 and 1,408.31 is: 1,943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.99 : 3,316.51 = 1,408.31 : x
  2. Step 2: Convert to fraction form
    2,402.99/3,316.51 = 1,408.31/x
  3. Step 3: Cross multiply
    2,402.99x = 3,316.51 × 1,408.31
  4. Step 4: Simplify right side
    2,402.99x = 4,670,674.20
  5. Step 5: Solve for x
    x = 4,670,674.20/2,402.99
  6. Step 6: Final answer
    x = 1,943.69

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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.