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Finding the Fourth Proportional to 2,176.94, 3,265.86 and 1,065.26

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Solution

The fourth proportional to 2,176.94, 3,265.86 and 1,065.26 is: 1,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.94 : 3,265.86 = 1,065.26 : x
  2. Step 2: Convert to fraction form
    2,176.94/3,265.86 = 1,065.26/x
  3. Step 3: Cross multiply
    2,176.94x = 3,265.86 × 1,065.26
  4. Step 4: Simplify right side
    2,176.94x = 3,478,990.02
  5. Step 5: Solve for x
    x = 3,478,990.02/2,176.94
  6. Step 6: Final answer
    x = 1,598.11

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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.