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Finding the Fourth Proportional to 1,776.30, 2,451.81 and 1,030.60

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Solution

The fourth proportional to 1,776.30, 2,451.81 and 1,030.60 is: 1,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.30 : 2,451.81 = 1,030.60 : x
  2. Step 2: Convert to fraction form
    1,776.30/2,451.81 = 1,030.60/x
  3. Step 3: Cross multiply
    1,776.30x = 2,451.81 × 1,030.60
  4. Step 4: Simplify right side
    1,776.30x = 2,526,835.39
  5. Step 5: Solve for x
    x = 2,526,835.39/1,776.30
  6. Step 6: Final answer
    x = 1,422.53

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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.