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Finding the Fourth Proportional to 1,356.30, 2,034.45 and 945.90

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Solution

The fourth proportional to 1,356.30, 2,034.45 and 945.90 is: 1,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.30 : 2,034.45 = 945.90 : x
  2. Step 2: Convert to fraction form
    1,356.30/2,034.45 = 945.90/x
  3. Step 3: Cross multiply
    1,356.30x = 2,034.45 × 945.90
  4. Step 4: Simplify right side
    1,356.30x = 1,924,386.26
  5. Step 5: Solve for x
    x = 1,924,386.26/1,356.30
  6. Step 6: Final answer
    x = 1,418.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.