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Finding the Fourth Proportional to 2,477.84, 3,711.90 and 2,113.40

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Solution

The fourth proportional to 2,477.84, 3,711.90 and 2,113.40 is: 3,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.84 : 3,711.90 = 2,113.40 : x
  2. Step 2: Convert to fraction form
    2,477.84/3,711.90 = 2,113.40/x
  3. Step 3: Cross multiply
    2,477.84x = 3,711.90 × 2,113.40
  4. Step 4: Simplify right side
    2,477.84x = 7,844,729.46
  5. Step 5: Solve for x
    x = 7,844,729.46/2,477.84
  6. Step 6: Final answer
    x = 3,165.95

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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.