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Finding the Fourth Proportional to 2,767.23, 4,148.48 and 917.87

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Solution

The fourth proportional to 2,767.23, 4,148.48 and 917.87 is: 1,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.23 : 4,148.48 = 917.87 : x
  2. Step 2: Convert to fraction form
    2,767.23/4,148.48 = 917.87/x
  3. Step 3: Cross multiply
    2,767.23x = 4,148.48 × 917.87
  4. Step 4: Simplify right side
    2,767.23x = 3,807,746.89
  5. Step 5: Solve for x
    x = 3,807,746.89/2,767.23
  6. Step 6: Final answer
    x = 1,376.01

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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.