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Finding the Fourth Proportional to 2,765.48, 4,146.80 and 916.38

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Solution

The fourth proportional to 2,765.48, 4,146.80 and 916.38 is: 1,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.48 : 4,146.80 = 916.38 : x
  2. Step 2: Convert to fraction form
    2,765.48/4,146.80 = 916.38/x
  3. Step 3: Cross multiply
    2,765.48x = 4,146.80 × 916.38
  4. Step 4: Simplify right side
    2,765.48x = 3,800,040.00
  5. Step 5: Solve for x
    x = 3,800,040.00/2,765.48
  6. Step 6: Final answer
    x = 1,374.10

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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.