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Finding the Fourth Proportional to 2,065.02, 2,848.94 and 1,319.02

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Solution

The fourth proportional to 2,065.02, 2,848.94 and 1,319.02 is: 1,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.02 : 2,848.94 = 1,319.02 : x
  2. Step 2: Convert to fraction form
    2,065.02/2,848.94 = 1,319.02/x
  3. Step 3: Cross multiply
    2,065.02x = 2,848.94 × 1,319.02
  4. Step 4: Simplify right side
    2,065.02x = 3,757,808.84
  5. Step 5: Solve for x
    x = 3,757,808.84/2,065.02
  6. Step 6: Final answer
    x = 1,819.74

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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.