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Finding the Fourth Proportional to 1,652.37, 2,475.36 and 919.71

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Solution

The fourth proportional to 1,652.37, 2,475.36 and 919.71 is: 1,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.37 : 2,475.36 = 919.71 : x
  2. Step 2: Convert to fraction form
    1,652.37/2,475.36 = 919.71/x
  3. Step 3: Cross multiply
    1,652.37x = 2,475.36 × 919.71
  4. Step 4: Simplify right side
    1,652.37x = 2,276,613.35
  5. Step 5: Solve for x
    x = 2,276,613.35/1,652.37
  6. Step 6: Final answer
    x = 1,377.79

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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.