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Finding the Fourth Proportional to 2,646.32, 3,652.32 and 2,203.52

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Solution

The fourth proportional to 2,646.32, 3,652.32 and 2,203.52 is: 3,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.32 : 3,652.32 = 2,203.52 : x
  2. Step 2: Convert to fraction form
    2,646.32/3,652.32 = 2,203.52/x
  3. Step 3: Cross multiply
    2,646.32x = 3,652.32 × 2,203.52
  4. Step 4: Simplify right side
    2,646.32x = 8,047,960.17
  5. Step 5: Solve for x
    x = 8,047,960.17/2,646.32
  6. Step 6: Final answer
    x = 3,041.19

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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.