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Finding the Fourth Proportional to 1,652.56, 2,280.42 and 944.44

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Solution

The fourth proportional to 1,652.56, 2,280.42 and 944.44 is: 1,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.56 : 2,280.42 = 944.44 : x
  2. Step 2: Convert to fraction form
    1,652.56/2,280.42 = 944.44/x
  3. Step 3: Cross multiply
    1,652.56x = 2,280.42 × 944.44
  4. Step 4: Simplify right side
    1,652.56x = 2,153,719.86
  5. Step 5: Solve for x
    x = 2,153,719.86/1,652.56
  6. Step 6: Final answer
    x = 1,303.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.