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Finding the Fourth Proportional to 2,029.58, 2,800.84 and 1,145.40

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Solution

The fourth proportional to 2,029.58, 2,800.84 and 1,145.40 is: 1,580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.58 : 2,800.84 = 1,145.40 : x
  2. Step 2: Convert to fraction form
    2,029.58/2,800.84 = 1,145.40/x
  3. Step 3: Cross multiply
    2,029.58x = 2,800.84 × 1,145.40
  4. Step 4: Simplify right side
    2,029.58x = 3,208,082.14
  5. Step 5: Solve for x
    x = 3,208,082.14/2,029.58
  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.