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Finding the Fourth Proportional to 2,703.87, 3,730.16 and 1,584.24

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Solution

The fourth proportional to 2,703.87, 3,730.16 and 1,584.24 is: 2,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.87 : 3,730.16 = 1,584.24 : x
  2. Step 2: Convert to fraction form
    2,703.87/3,730.16 = 1,584.24/x
  3. Step 3: Cross multiply
    2,703.87x = 3,730.16 × 1,584.24
  4. Step 4: Simplify right side
    2,703.87x = 5,909,460.76
  5. Step 5: Solve for x
    x = 5,909,460.76/2,703.87
  6. Step 6: Final answer
    x = 2,185.56

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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.