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Finding the Fourth Proportional to 2,857.55, 4,284.30 and 1,298.30

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Solution

The fourth proportional to 2,857.55, 4,284.30 and 1,298.30 is: 1,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.55 : 4,284.30 = 1,298.30 : x
  2. Step 2: Convert to fraction form
    2,857.55/4,284.30 = 1,298.30/x
  3. Step 3: Cross multiply
    2,857.55x = 4,284.30 × 1,298.30
  4. Step 4: Simplify right side
    2,857.55x = 5,562,306.69
  5. Step 5: Solve for x
    x = 5,562,306.69/2,857.55
  6. Step 6: Final answer
    x = 1,946.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.