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Finding the Fourth Proportional to 2,313.54, 3,470.02 and 647.80

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Solution

The fourth proportional to 2,313.54, 3,470.02 and 647.80 is: 971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.54 : 3,470.02 = 647.80 : x
  2. Step 2: Convert to fraction form
    2,313.54/3,470.02 = 647.80/x
  3. Step 3: Cross multiply
    2,313.54x = 3,470.02 × 647.80
  4. Step 4: Simplify right side
    2,313.54x = 2,247,878.96
  5. Step 5: Solve for x
    x = 2,247,878.96/2,313.54
  6. Step 6: Final answer
    x = 971.62

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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.