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Finding the Fourth Proportional to 1,380.76, 1,906.68 and 1,030.84

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Solution

The fourth proportional to 1,380.76, 1,906.68 and 1,030.84 is: 1,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.76 : 1,906.68 = 1,030.84 : x
  2. Step 2: Convert to fraction form
    1,380.76/1,906.68 = 1,030.84/x
  3. Step 3: Cross multiply
    1,380.76x = 1,906.68 × 1,030.84
  4. Step 4: Simplify right side
    1,380.76x = 1,965,482.01
  5. Step 5: Solve for x
    x = 1,965,482.01/1,380.76
  6. Step 6: Final answer
    x = 1,423.48

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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.