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Finding the Fourth Proportional to 1,788.19, 2,683.36 and 762.19

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Solution

The fourth proportional to 1,788.19, 2,683.36 and 762.19 is: 1,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.19 : 2,683.36 = 762.19 : x
  2. Step 2: Convert to fraction form
    1,788.19/2,683.36 = 762.19/x
  3. Step 3: Cross multiply
    1,788.19x = 2,683.36 × 762.19
  4. Step 4: Simplify right side
    1,788.19x = 2,045,224.40
  5. Step 5: Solve for x
    x = 2,045,224.40/1,788.19
  6. Step 6: Final answer
    x = 1,143.74

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1.5x scale

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.