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Finding the Fourth Proportional to 2,362.48, 3,261.44 and 1,580.64

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Solution

The fourth proportional to 2,362.48, 3,261.44 and 1,580.64 is: 2,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.48 : 3,261.44 = 1,580.64 : x
  2. Step 2: Convert to fraction form
    2,362.48/3,261.44 = 1,580.64/x
  3. Step 3: Cross multiply
    2,362.48x = 3,261.44 × 1,580.64
  4. Step 4: Simplify right side
    2,362.48x = 5,155,162.52
  5. Step 5: Solve for x
    x = 5,155,162.52/2,362.48
  6. Step 6: Final answer
    x = 2,182.10

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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.