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Finding the Fourth Proportional to 1,680.89, 2,320.04 and 1,017.63

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Solution

The fourth proportional to 1,680.89, 2,320.04 and 1,017.63 is: 1,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.89 : 2,320.04 = 1,017.63 : x
  2. Step 2: Convert to fraction form
    1,680.89/2,320.04 = 1,017.63/x
  3. Step 3: Cross multiply
    1,680.89x = 2,320.04 × 1,017.63
  4. Step 4: Simplify right side
    1,680.89x = 2,360,942.31
  5. Step 5: Solve for x
    x = 2,360,942.31/1,680.89
  6. Step 6: Final answer
    x = 1,404.58

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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.