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Finding the Fourth Proportional to 2,145.02, 2,960.16 and 1,200.86

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Solution

The fourth proportional to 2,145.02, 2,960.16 and 1,200.86 is: 1,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.02 : 2,960.16 = 1,200.86 : x
  2. Step 2: Convert to fraction form
    2,145.02/2,960.16 = 1,200.86/x
  3. Step 3: Cross multiply
    2,145.02x = 2,960.16 × 1,200.86
  4. Step 4: Simplify right side
    2,145.02x = 3,554,737.74
  5. Step 5: Solve for x
    x = 3,554,737.74/2,145.02
  6. Step 6: Final answer
    x = 1,657.20

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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.