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Finding the Fourth Proportional to 3,115.35, 4,673.07 and 924.03

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Solution

The fourth proportional to 3,115.35, 4,673.07 and 924.03 is: 1,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.35 : 4,673.07 = 924.03 : x
  2. Step 2: Convert to fraction form
    3,115.35/4,673.07 = 924.03/x
  3. Step 3: Cross multiply
    3,115.35x = 4,673.07 × 924.03
  4. Step 4: Simplify right side
    3,115.35x = 4,318,056.87
  5. Step 5: Solve for x
    x = 4,318,056.87/3,115.35
  6. Step 6: Final answer
    x = 1,386.06

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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.