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Finding the Fourth Proportional to 2,566, 3,541.32 and 1,462

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Solution

The fourth proportional to 2,566, 3,541.32 and 1,462 is: 2,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566 : 3,541.32 = 1,462 : x
  2. Step 2: Convert to fraction form
    2,566/3,541.32 = 1,462/x
  3. Step 3: Cross multiply
    2,566x = 3,541.32 × 1,462
  4. Step 4: Simplify right side
    2,566x = 5,177,409.84
  5. Step 5: Solve for x
    x = 5,177,409.84/2,566
  6. Step 6: Final answer
    x = 2,017.70

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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.