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Finding the Fourth Proportional to 2,984.45, 4,118.50 and 1,658.12

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Solution

The fourth proportional to 2,984.45, 4,118.50 and 1,658.12 is: 2,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.45 : 4,118.50 = 1,658.12 : x
  2. Step 2: Convert to fraction form
    2,984.45/4,118.50 = 1,658.12/x
  3. Step 3: Cross multiply
    2,984.45x = 4,118.50 × 1,658.12
  4. Step 4: Simplify right side
    2,984.45x = 6,828,962.54
  5. Step 5: Solve for x
    x = 6,828,962.54/2,984.45
  6. Step 6: Final answer
    x = 2,288.19

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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.