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Finding the Fourth Proportional to 2,646.76, 3,652.69 and 1,527.90

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Solution

The fourth proportional to 2,646.76, 3,652.69 and 1,527.90 is: 2,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.76 : 3,652.69 = 1,527.90 : x
  2. Step 2: Convert to fraction form
    2,646.76/3,652.69 = 1,527.90/x
  3. Step 3: Cross multiply
    2,646.76x = 3,652.69 × 1,527.90
  4. Step 4: Simplify right side
    2,646.76x = 5,580,945.05
  5. Step 5: Solve for x
    x = 5,580,945.05/2,646.76
  6. Step 6: Final answer
    x = 2,108.60

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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.