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Finding the Fourth Proportional to 2,156.99, 2,981.36 and 1,813.55

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Solution

The fourth proportional to 2,156.99, 2,981.36 and 1,813.55 is: 2,506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.99 : 2,981.36 = 1,813.55 : x
  2. Step 2: Convert to fraction form
    2,156.99/2,981.36 = 1,813.55/x
  3. Step 3: Cross multiply
    2,156.99x = 2,981.36 × 1,813.55
  4. Step 4: Simplify right side
    2,156.99x = 5,406,836.36
  5. Step 5: Solve for x
    x = 5,406,836.36/2,156.99
  6. Step 6: Final answer
    x = 2,506.66

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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.