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Finding the Fourth Proportional to 2,703.32, 3,730.32 and 1,584.20

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Solution

The fourth proportional to 2,703.32, 3,730.32 and 1,584.20 is: 2,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.32 : 3,730.32 = 1,584.20 : x
  2. Step 2: Convert to fraction form
    2,703.32/3,730.32 = 1,584.20/x
  3. Step 3: Cross multiply
    2,703.32x = 3,730.32 × 1,584.20
  4. Step 4: Simplify right side
    2,703.32x = 5,909,572.94
  5. Step 5: Solve for x
    x = 5,909,572.94/2,703.32
  6. Step 6: Final answer
    x = 2,186.04

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1.5x scale

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.