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Finding the Fourth Proportional to 1,711.36, 2,363.04 and 1,580.32

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Solution

The fourth proportional to 1,711.36, 2,363.04 and 1,580.32 is: 2,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.36 : 2,363.04 = 1,580.32 : x
  2. Step 2: Convert to fraction form
    1,711.36/2,363.04 = 1,580.32/x
  3. Step 3: Cross multiply
    1,711.36x = 2,363.04 × 1,580.32
  4. Step 4: Simplify right side
    1,711.36x = 3,734,359.37
  5. Step 5: Solve for x
    x = 3,734,359.37/1,711.36
  6. Step 6: Final answer
    x = 2,182.10

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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.