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Finding the Fourth Proportional to 1,680.49, 2,319.28 and 1,017.32

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Solution

The fourth proportional to 1,680.49, 2,319.28 and 1,017.32 is: 1,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.49 : 2,319.28 = 1,017.32 : x
  2. Step 2: Convert to fraction form
    1,680.49/2,319.28 = 1,017.32/x
  3. Step 3: Cross multiply
    1,680.49x = 2,319.28 × 1,017.32
  4. Step 4: Simplify right side
    1,680.49x = 2,359,453.18
  5. Step 5: Solve for x
    x = 2,359,453.18/1,680.49
  6. Step 6: Final answer
    x = 1,404.03

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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.