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Finding the Fourth Proportional to 2,115.39, 2,919.30 and 1,406.00

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Solution

The fourth proportional to 2,115.39, 2,919.30 and 1,406.00 is: 1,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.39 : 2,919.30 = 1,406.00 : x
  2. Step 2: Convert to fraction form
    2,115.39/2,919.30 = 1,406.00/x
  3. Step 3: Cross multiply
    2,115.39x = 2,919.30 × 1,406.00
  4. Step 4: Simplify right side
    2,115.39x = 4,104,526.48
  5. Step 5: Solve for x
    x = 4,104,526.48/2,115.39
  6. Step 6: Final answer
    x = 1,940.32

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Why These Related Problems?

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