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Finding the Fourth Proportional to 1,808.10, 2,492.00 and 1,491.49

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Solution

The fourth proportional to 1,808.10, 2,492.00 and 1,491.49 is: 2,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.10 : 2,492.00 = 1,491.49 : x
  2. Step 2: Convert to fraction form
    1,808.10/2,492.00 = 1,491.49/x
  3. Step 3: Cross multiply
    1,808.10x = 2,492.00 × 1,491.49
  4. Step 4: Simplify right side
    1,808.10x = 3,716,794.33
  5. Step 5: Solve for x
    x = 3,716,794.33/1,808.10
  6. Step 6: Final answer
    x = 2,055.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.