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Finding the Fourth Proportional to 2,646.45, 3,652.56 and 1,527.20

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Solution

The fourth proportional to 2,646.45, 3,652.56 and 1,527.20 is: 2,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.45 : 3,652.56 = 1,527.20 : x
  2. Step 2: Convert to fraction form
    2,646.45/3,652.56 = 1,527.20/x
  3. Step 3: Cross multiply
    2,646.45x = 3,652.56 × 1,527.20
  4. Step 4: Simplify right side
    2,646.45x = 5,578,185.07
  5. Step 5: Solve for x
    x = 5,578,185.07/2,646.45
  6. Step 6: Final answer
    x = 2,107.80

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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.