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Finding the Fourth Proportional to 2,384.79, 3,570.58 and 1,798.02

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Solution

The fourth proportional to 2,384.79, 3,570.58 and 1,798.02 is: 2,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.79 : 3,570.58 = 1,798.02 : x
  2. Step 2: Convert to fraction form
    2,384.79/3,570.58 = 1,798.02/x
  3. Step 3: Cross multiply
    2,384.79x = 3,570.58 × 1,798.02
  4. Step 4: Simplify right side
    2,384.79x = 6,419,974.25
  5. Step 5: Solve for x
    x = 6,419,974.25/2,384.79
  6. Step 6: Final answer
    x = 2,692.05

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Why These Related Problems?

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