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Finding the Fourth Proportional to 2,402.57, 3,315.55 and 1,325.82

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Solution

The fourth proportional to 2,402.57, 3,315.55 and 1,325.82 is: 1,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.57 : 3,315.55 = 1,325.82 : x
  2. Step 2: Convert to fraction form
    2,402.57/3,315.55 = 1,325.82/x
  3. Step 3: Cross multiply
    2,402.57x = 3,315.55 × 1,325.82
  4. Step 4: Simplify right side
    2,402.57x = 4,395,806.75
  5. Step 5: Solve for x
    x = 4,395,806.75/2,402.57
  6. Step 6: Final answer
    x = 1,829.63

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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.