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Finding the Fourth Proportional to 2,050.64, 2,827.86 and 1,264.52

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Solution

The fourth proportional to 2,050.64, 2,827.86 and 1,264.52 is: 1,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.64 : 2,827.86 = 1,264.52 : x
  2. Step 2: Convert to fraction form
    2,050.64/2,827.86 = 1,264.52/x
  3. Step 3: Cross multiply
    2,050.64x = 2,827.86 × 1,264.52
  4. Step 4: Simplify right side
    2,050.64x = 3,575,885.53
  5. Step 5: Solve for x
    x = 3,575,885.53/2,050.64
  6. Step 6: Final answer
    x = 1,743.79

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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.