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Finding the Fourth Proportional to 1,705.34, 2,354.46 and 1,076.72

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Solution

The fourth proportional to 1,705.34, 2,354.46 and 1,076.72 is: 1,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.34 : 2,354.46 = 1,076.72 : x
  2. Step 2: Convert to fraction form
    1,705.34/2,354.46 = 1,076.72/x
  3. Step 3: Cross multiply
    1,705.34x = 2,354.46 × 1,076.72
  4. Step 4: Simplify right side
    1,705.34x = 2,535,094.17
  5. Step 5: Solve for x
    x = 2,535,094.17/1,705.34
  6. Step 6: Final answer
    x = 1,486.56

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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.