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Finding the Fourth Proportional to 1,802.10, 2,701.64 and 762.90

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Solution

The fourth proportional to 1,802.10, 2,701.64 and 762.90 is: 1,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.10 : 2,701.64 = 762.90 : x
  2. Step 2: Convert to fraction form
    1,802.10/2,701.64 = 762.90/x
  3. Step 3: Cross multiply
    1,802.10x = 2,701.64 × 762.90
  4. Step 4: Simplify right side
    1,802.10x = 2,061,081.16
  5. Step 5: Solve for x
    x = 2,061,081.16/1,802.10
  6. Step 6: Final answer
    x = 1,143.71

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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.