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Finding the Fourth Proportional to 2,569.86, 3,546.24 and 1,435.50

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Solution

The fourth proportional to 2,569.86, 3,546.24 and 1,435.50 is: 1,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.86 : 3,546.24 = 1,435.50 : x
  2. Step 2: Convert to fraction form
    2,569.86/3,546.24 = 1,435.50/x
  3. Step 3: Cross multiply
    2,569.86x = 3,546.24 × 1,435.50
  4. Step 4: Simplify right side
    2,569.86x = 5,090,627.52
  5. Step 5: Solve for x
    x = 5,090,627.52/2,569.86
  6. Step 6: Final answer
    x = 1,980.90

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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.