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Finding the Fourth Proportional to 1,905.76, 2,630.04 and 1,066.46

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Solution

The fourth proportional to 1,905.76, 2,630.04 and 1,066.46 is: 1,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.76 : 2,630.04 = 1,066.46 : x
  2. Step 2: Convert to fraction form
    1,905.76/2,630.04 = 1,066.46/x
  3. Step 3: Cross multiply
    1,905.76x = 2,630.04 × 1,066.46
  4. Step 4: Simplify right side
    1,905.76x = 2,804,832.46
  5. Step 5: Solve for x
    x = 2,804,832.46/1,905.76
  6. Step 6: Final answer
    x = 1,471.77

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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.