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Finding the Fourth Proportional to 2,703.32, 3,730.82 and 1,524.64

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Solution

The fourth proportional to 2,703.32, 3,730.82 and 1,524.64 is: 2,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.32 : 3,730.82 = 1,524.64 : x
  2. Step 2: Convert to fraction form
    2,703.32/3,730.82 = 1,524.64/x
  3. Step 3: Cross multiply
    2,703.32x = 3,730.82 × 1,524.64
  4. Step 4: Simplify right side
    2,703.32x = 5,688,157.40
  5. Step 5: Solve for x
    x = 5,688,157.40/2,703.32
  6. Step 6: Final answer
    x = 2,104.14

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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.