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Finding the Fourth Proportional to 2,071, 2,858.10 and 1,174.77

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Solution

The fourth proportional to 2,071, 2,858.10 and 1,174.77 is: 1,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071 : 2,858.10 = 1,174.77 : x
  2. Step 2: Convert to fraction form
    2,071/2,858.10 = 1,174.77/x
  3. Step 3: Cross multiply
    2,071x = 2,858.10 × 1,174.77
  4. Step 4: Simplify right side
    2,071x = 3,357,610.14
  5. Step 5: Solve for x
    x = 3,357,610.14/2,071
  6. Step 6: Final answer
    x = 1,621.25

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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.