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Finding the Fourth Proportional to 2,596.16, 3,581.76 and 1,712.32

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Solution

The fourth proportional to 2,596.16, 3,581.76 and 1,712.32 is: 2,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.16 : 3,581.76 = 1,712.32 : x
  2. Step 2: Convert to fraction form
    2,596.16/3,581.76 = 1,712.32/x
  3. Step 3: Cross multiply
    2,596.16x = 3,581.76 × 1,712.32
  4. Step 4: Simplify right side
    2,596.16x = 6,133,119.28
  5. Step 5: Solve for x
    x = 6,133,119.28/2,596.16
  6. Step 6: Final answer
    x = 2,362.38

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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.