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Finding the Fourth Proportional to 2,370.56, 3,558.24 and 1,505.60

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Solution

The fourth proportional to 2,370.56, 3,558.24 and 1,505.60 is: 2,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.56 : 3,558.24 = 1,505.60 : x
  2. Step 2: Convert to fraction form
    2,370.56/3,558.24 = 1,505.60/x
  3. Step 3: Cross multiply
    2,370.56x = 3,558.24 × 1,505.60
  4. Step 4: Simplify right side
    2,370.56x = 5,357,286.14
  5. Step 5: Solve for x
    x = 5,357,286.14/2,370.56
  6. Step 6: Final answer
    x = 2,259.92

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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.