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Finding the Fourth Proportional to 2,017.59, 2,784.61 and 1,680.96

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Solution

The fourth proportional to 2,017.59, 2,784.61 and 1,680.96 is: 2,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.59 : 2,784.61 = 1,680.96 : x
  2. Step 2: Convert to fraction form
    2,017.59/2,784.61 = 1,680.96/x
  3. Step 3: Cross multiply
    2,017.59x = 2,784.61 × 1,680.96
  4. Step 4: Simplify right side
    2,017.59x = 4,680,813.82
  5. Step 5: Solve for x
    x = 4,680,813.82/2,017.59
  6. Step 6: Final answer
    x = 2,320.00

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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.