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Finding the Fourth Proportional to 3,114.60, 4,674.64 and 1,729.50

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Solution

The fourth proportional to 3,114.60, 4,674.64 and 1,729.50 is: 2,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.60 : 4,674.64 = 1,729.50 : x
  2. Step 2: Convert to fraction form
    3,114.60/4,674.64 = 1,729.50/x
  3. Step 3: Cross multiply
    3,114.60x = 4,674.64 × 1,729.50
  4. Step 4: Simplify right side
    3,114.60x = 8,084,781.23
  5. Step 5: Solve for x
    x = 8,084,781.23/3,114.60
  6. Step 6: Final answer
    x = 2,595.77

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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.