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Finding the Fourth Proportional to 2,106.99, 2,907.63 and 1,223.30

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Solution

The fourth proportional to 2,106.99, 2,907.63 and 1,223.30 is: 1,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.99 : 2,907.63 = 1,223.30 : x
  2. Step 2: Convert to fraction form
    2,106.99/2,907.63 = 1,223.30/x
  3. Step 3: Cross multiply
    2,106.99x = 2,907.63 × 1,223.30
  4. Step 4: Simplify right side
    2,106.99x = 3,556,903.78
  5. Step 5: Solve for x
    x = 3,556,903.78/2,106.99
  6. Step 6: Final answer
    x = 1,688.14

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