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Finding the Fourth Proportional to 2,765.64, 4,146.86 and 916.26

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Solution

The fourth proportional to 2,765.64, 4,146.86 and 916.26 is: 1,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.64 : 4,146.86 = 916.26 : x
  2. Step 2: Convert to fraction form
    2,765.64/4,146.86 = 916.26/x
  3. Step 3: Cross multiply
    2,765.64x = 4,146.86 × 916.26
  4. Step 4: Simplify right side
    2,765.64x = 3,799,588.68
  5. Step 5: Solve for x
    x = 3,799,588.68/2,765.64
  6. Step 6: Final answer
    x = 1,373.86

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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.