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Finding the Fourth Proportional to 2,152.86, 3,232.26 and 1,113.60

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Solution

The fourth proportional to 2,152.86, 3,232.26 and 1,113.60 is: 1,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.86 : 3,232.26 = 1,113.60 : x
  2. Step 2: Convert to fraction form
    2,152.86/3,232.26 = 1,113.60/x
  3. Step 3: Cross multiply
    2,152.86x = 3,232.26 × 1,113.60
  4. Step 4: Simplify right side
    2,152.86x = 3,599,444.74
  5. Step 5: Solve for x
    x = 3,599,444.74/2,152.86
  6. Step 6: Final answer
    x = 1,671.94

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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.