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Finding the Fourth Proportional to 1,773.87, 2,448.36 and 1,176.45

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Solution

The fourth proportional to 1,773.87, 2,448.36 and 1,176.45 is: 1,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.87 : 2,448.36 = 1,176.45 : x
  2. Step 2: Convert to fraction form
    1,773.87/2,448.36 = 1,176.45/x
  3. Step 3: Cross multiply
    1,773.87x = 2,448.36 × 1,176.45
  4. Step 4: Simplify right side
    1,773.87x = 2,880,373.12
  5. Step 5: Solve for x
    x = 2,880,373.12/1,773.87
  6. Step 6: Final answer
    x = 1,623.78

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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.