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Finding the Fourth Proportional to 2,404.54, 3,602.08 and 1,580.37

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Solution

The fourth proportional to 2,404.54, 3,602.08 and 1,580.37 is: 2,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.54 : 3,602.08 = 1,580.37 : x
  2. Step 2: Convert to fraction form
    2,404.54/3,602.08 = 1,580.37/x
  3. Step 3: Cross multiply
    2,404.54x = 3,602.08 × 1,580.37
  4. Step 4: Simplify right side
    2,404.54x = 5,692,619.17
  5. Step 5: Solve for x
    x = 5,692,619.17/2,404.54
  6. Step 6: Final answer
    x = 2,367.45

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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.