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Finding the Fourth Proportional to 2,313.58, 3,470.10 and 926.86

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Solution

The fourth proportional to 2,313.58, 3,470.10 and 926.86 is: 1,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.58 : 3,470.10 = 926.86 : x
  2. Step 2: Convert to fraction form
    2,313.58/3,470.10 = 926.86/x
  3. Step 3: Cross multiply
    2,313.58x = 3,470.10 × 926.86
  4. Step 4: Simplify right side
    2,313.58x = 3,216,296.89
  5. Step 5: Solve for x
    x = 3,216,296.89/2,313.58
  6. Step 6: Final answer
    x = 1,390.18

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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.