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Finding the Fourth Proportional to 1,776.64, 2,451.66 and 990.68

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Solution

The fourth proportional to 1,776.64, 2,451.66 and 990.68 is: 1,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.64 : 2,451.66 = 990.68 : x
  2. Step 2: Convert to fraction form
    1,776.64/2,451.66 = 990.68/x
  3. Step 3: Cross multiply
    1,776.64x = 2,451.66 × 990.68
  4. Step 4: Simplify right side
    1,776.64x = 2,428,810.53
  5. Step 5: Solve for x
    x = 2,428,810.53/1,776.64
  6. Step 6: Final answer
    x = 1,367.08

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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.