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Finding the Fourth Proportional to 3,114.02, 4,671.34 and 923.38

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Solution

The fourth proportional to 3,114.02, 4,671.34 and 923.38 is: 1,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.02 : 4,671.34 = 923.38 : x
  2. Step 2: Convert to fraction form
    3,114.02/4,671.34 = 923.38/x
  3. Step 3: Cross multiply
    3,114.02x = 4,671.34 × 923.38
  4. Step 4: Simplify right side
    3,114.02x = 4,313,421.93
  5. Step 5: Solve for x
    x = 4,313,421.93/3,114.02
  6. Step 6: Final answer
    x = 1,385.16

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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.