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Finding the Fourth Proportional to 1,419, 2,125.80 and 1,109.40

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Solution

The fourth proportional to 1,419, 2,125.80 and 1,109.40 is: 1,661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419 : 2,125.80 = 1,109.40 : x
  2. Step 2: Convert to fraction form
    1,419/2,125.80 = 1,109.40/x
  3. Step 3: Cross multiply
    1,419x = 2,125.80 × 1,109.40
  4. Step 4: Simplify right side
    1,419x = 2,358,362.52
  5. Step 5: Solve for x
    x = 2,358,362.52/1,419
  6. Step 6: Final answer
    x = 1,661.99

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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.