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Finding the Fourth Proportional to 2,078.04, 3,117.38 and 617.01

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Solution

The fourth proportional to 2,078.04, 3,117.38 and 617.01 is: 925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.04 : 3,117.38 = 617.01 : x
  2. Step 2: Convert to fraction form
    2,078.04/3,117.38 = 617.01/x
  3. Step 3: Cross multiply
    2,078.04x = 3,117.38 × 617.01
  4. Step 4: Simplify right side
    2,078.04x = 1,923,451.55
  5. Step 5: Solve for x
    x = 1,923,451.55/2,078.04
  6. Step 6: Final answer
    x = 925.61

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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.