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Finding the Fourth Proportional to 2,580.35, 3,868.71 and 1,409.39

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Solution

The fourth proportional to 2,580.35, 3,868.71 and 1,409.39 is: 2,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.35 : 3,868.71 = 1,409.39 : x
  2. Step 2: Convert to fraction form
    2,580.35/3,868.71 = 1,409.39/x
  3. Step 3: Cross multiply
    2,580.35x = 3,868.71 × 1,409.39
  4. Step 4: Simplify right side
    2,580.35x = 5,452,501.84
  5. Step 5: Solve for x
    x = 5,452,501.84/2,580.35
  6. Step 6: Final answer
    x = 2,113.09

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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.