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Finding the Fourth Proportional to 2,313.32, 3,470.45 and 1,143.45

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Solution

The fourth proportional to 2,313.32, 3,470.45 and 1,143.45 is: 1,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.32 : 3,470.45 = 1,143.45 : x
  2. Step 2: Convert to fraction form
    2,313.32/3,470.45 = 1,143.45/x
  3. Step 3: Cross multiply
    2,313.32x = 3,470.45 × 1,143.45
  4. Step 4: Simplify right side
    2,313.32x = 3,968,280.34
  5. Step 5: Solve for x
    x = 3,968,280.34/2,313.32
  6. Step 6: Final answer
    x = 1,715.41

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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.