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Finding the Fourth Proportional to 3,114.76, 4,671.44 and 923.26

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Solution

The fourth proportional to 3,114.76, 4,671.44 and 923.26 is: 1,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.76 : 4,671.44 = 923.26 : x
  2. Step 2: Convert to fraction form
    3,114.76/4,671.44 = 923.26/x
  3. Step 3: Cross multiply
    3,114.76x = 4,671.44 × 923.26
  4. Step 4: Simplify right side
    3,114.76x = 4,312,953.69
  5. Step 5: Solve for x
    x = 4,312,953.69/3,114.76
  6. Step 6: Final answer
    x = 1,384.68

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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.