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Finding the Fourth Proportional to 2,145.03, 2,959.86 and 1,200.78

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Solution

The fourth proportional to 2,145.03, 2,959.86 and 1,200.78 is: 1,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.03 : 2,959.86 = 1,200.78 : x
  2. Step 2: Convert to fraction form
    2,145.03/2,959.86 = 1,200.78/x
  3. Step 3: Cross multiply
    2,145.03x = 2,959.86 × 1,200.78
  4. Step 4: Simplify right side
    2,145.03x = 3,554,140.69
  5. Step 5: Solve for x
    x = 3,554,140.69/2,145.03
  6. Step 6: Final answer
    x = 1,656.92

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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.