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Finding the Fourth Proportional to 2,931.24, 4,397.07 and 930.39

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Solution

The fourth proportional to 2,931.24, 4,397.07 and 930.39 is: 1,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.24 : 4,397.07 = 930.39 : x
  2. Step 2: Convert to fraction form
    2,931.24/4,397.07 = 930.39/x
  3. Step 3: Cross multiply
    2,931.24x = 4,397.07 × 930.39
  4. Step 4: Simplify right side
    2,931.24x = 4,090,975.65
  5. Step 5: Solve for x
    x = 4,090,975.65/2,931.24
  6. Step 6: Final answer
    x = 1,395.65

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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.