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Finding the Fourth Proportional to 2,071.36, 3,106.93 and 511.28

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Solution

The fourth proportional to 2,071.36, 3,106.93 and 511.28 is: 766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.36 : 3,106.93 = 511.28 : x
  2. Step 2: Convert to fraction form
    2,071.36/3,106.93 = 511.28/x
  3. Step 3: Cross multiply
    2,071.36x = 3,106.93 × 511.28
  4. Step 4: Simplify right side
    2,071.36x = 1,588,511.17
  5. Step 5: Solve for x
    x = 1,588,511.17/2,071.36
  6. Step 6: Final answer
    x = 766.89

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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.