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Finding the Fourth Proportional to 2,029.83, 2,801.03 and 1,145.46

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Solution

The fourth proportional to 2,029.83, 2,801.03 and 1,145.46 is: 1,580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.83 : 2,801.03 = 1,145.46 : x
  2. Step 2: Convert to fraction form
    2,029.83/2,801.03 = 1,145.46/x
  3. Step 3: Cross multiply
    2,029.83x = 2,801.03 × 1,145.46
  4. Step 4: Simplify right side
    2,029.83x = 3,208,462.10
  5. Step 5: Solve for x
    x = 3,208,462.10/2,029.83
  6. Step 6: Final answer
    x = 1,580.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.