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Finding the Fourth Proportional to 2,114.60, 3,171.90 and 554.60

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Solution

The fourth proportional to 2,114.60, 3,171.90 and 554.60 is: 831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.60 : 3,171.90 = 554.60 : x
  2. Step 2: Convert to fraction form
    2,114.60/3,171.90 = 554.60/x
  3. Step 3: Cross multiply
    2,114.60x = 3,171.90 × 554.60
  4. Step 4: Simplify right side
    2,114.60x = 1,759,135.74
  5. Step 5: Solve for x
    x = 1,759,135.74/2,114.60
  6. Step 6: Final answer
    x = 831.90

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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.