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Finding the Fourth Proportional to 3,146.49, 4,718.18 and 1,830.69

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Solution

The fourth proportional to 3,146.49, 4,718.18 and 1,830.69 is: 2,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.49 : 4,718.18 = 1,830.69 : x
  2. Step 2: Convert to fraction form
    3,146.49/4,718.18 = 1,830.69/x
  3. Step 3: Cross multiply
    3,146.49x = 4,718.18 × 1,830.69
  4. Step 4: Simplify right side
    3,146.49x = 8,637,529.52
  5. Step 5: Solve for x
    x = 8,637,529.52/3,146.49
  6. Step 6: Final answer
    x = 2,745.13

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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.