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Finding the Fourth Proportional to 2,317.15, 3,475.69 and 930.46

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Solution

The fourth proportional to 2,317.15, 3,475.69 and 930.46 is: 1,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.15 : 3,475.69 = 930.46 : x
  2. Step 2: Convert to fraction form
    2,317.15/3,475.69 = 930.46/x
  3. Step 3: Cross multiply
    2,317.15x = 3,475.69 × 930.46
  4. Step 4: Simplify right side
    2,317.15x = 3,233,984.74
  5. Step 5: Solve for x
    x = 3,233,984.74/2,317.15
  6. Step 6: Final answer
    x = 1,395.68

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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.