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Finding the Fourth Proportional to 2,764.50, 4,146.75 and 816.68

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Solution

The fourth proportional to 2,764.50, 4,146.75 and 816.68 is: 1,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.50 : 4,146.75 = 816.68 : x
  2. Step 2: Convert to fraction form
    2,764.50/4,146.75 = 816.68/x
  3. Step 3: Cross multiply
    2,764.50x = 4,146.75 × 816.68
  4. Step 4: Simplify right side
    2,764.50x = 3,386,547.06
  5. Step 5: Solve for x
    x = 3,386,547.06/2,764.50
  6. Step 6: Final answer
    x = 1,225.01

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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.