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Finding the Fourth Proportional to 2,057.58, 2,840.01 and 1,173.69

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Solution

The fourth proportional to 2,057.58, 2,840.01 and 1,173.69 is: 1,620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.58 : 2,840.01 = 1,173.69 : x
  2. Step 2: Convert to fraction form
    2,057.58/2,840.01 = 1,173.69/x
  3. Step 3: Cross multiply
    2,057.58x = 2,840.01 × 1,173.69
  4. Step 4: Simplify right side
    2,057.58x = 3,333,291.34
  5. Step 5: Solve for x
    x = 3,333,291.34/2,057.58
  6. Step 6: Final answer
    x = 1,620.01

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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.