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Finding the Fourth Proportional to 2,675.68, 4,009.86 and 1,288.91

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Solution

The fourth proportional to 2,675.68, 4,009.86 and 1,288.91 is: 1,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.68 : 4,009.86 = 1,288.91 : x
  2. Step 2: Convert to fraction form
    2,675.68/4,009.86 = 1,288.91/x
  3. Step 3: Cross multiply
    2,675.68x = 4,009.86 × 1,288.91
  4. Step 4: Simplify right side
    2,675.68x = 5,168,358.68
  5. Step 5: Solve for x
    x = 5,168,358.68/2,675.68
  6. Step 6: Final answer
    x = 1,931.61

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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.