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Finding the Fourth Proportional to 2,543.58, 3,507.84 and 1,599.48

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Solution

The fourth proportional to 2,543.58, 3,507.84 and 1,599.48 is: 2,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.58 : 3,507.84 = 1,599.48 : x
  2. Step 2: Convert to fraction form
    2,543.58/3,507.84 = 1,599.48/x
  3. Step 3: Cross multiply
    2,543.58x = 3,507.84 × 1,599.48
  4. Step 4: Simplify right side
    2,543.58x = 5,610,719.92
  5. Step 5: Solve for x
    x = 5,610,719.92/2,543.58
  6. Step 6: Final answer
    x = 2,205.84

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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.