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Finding the Fourth Proportional to 2,074.16, 2,860.96 and 1,575.68

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Solution

The fourth proportional to 2,074.16, 2,860.96 and 1,575.68 is: 2,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.16 : 2,860.96 = 1,575.68 : x
  2. Step 2: Convert to fraction form
    2,074.16/2,860.96 = 1,575.68/x
  3. Step 3: Cross multiply
    2,074.16x = 2,860.96 × 1,575.68
  4. Step 4: Simplify right side
    2,074.16x = 4,507,957.45
  5. Step 5: Solve for x
    x = 4,507,957.45/2,074.16
  6. Step 6: Final answer
    x = 2,173.39

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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.