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Finding the Fourth Proportional to 1,813.84, 2,719.02 and 1,153.67

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Solution

The fourth proportional to 1,813.84, 2,719.02 and 1,153.67 is: 1,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.84 : 2,719.02 = 1,153.67 : x
  2. Step 2: Convert to fraction form
    1,813.84/2,719.02 = 1,153.67/x
  3. Step 3: Cross multiply
    1,813.84x = 2,719.02 × 1,153.67
  4. Step 4: Simplify right side
    1,813.84x = 3,136,862.93
  5. Step 5: Solve for x
    x = 3,136,862.93/1,813.84
  6. Step 6: Final answer
    x = 1,729.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.