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Finding the Fourth Proportional to 2,651.40, 3,658.74 and 1,531.46

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Solution

The fourth proportional to 2,651.40, 3,658.74 and 1,531.46 is: 2,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.40 : 3,658.74 = 1,531.46 : x
  2. Step 2: Convert to fraction form
    2,651.40/3,658.74 = 1,531.46/x
  3. Step 3: Cross multiply
    2,651.40x = 3,658.74 × 1,531.46
  4. Step 4: Simplify right side
    2,651.40x = 5,603,210.56
  5. Step 5: Solve for x
    x = 5,603,210.56/2,651.40
  6. Step 6: Final answer
    x = 2,113.30

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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.