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Finding the Fourth Proportional to 1,873.30, 2,584.20 and 1,284.40

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Solution

The fourth proportional to 1,873.30, 2,584.20 and 1,284.40 is: 1,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.30 : 2,584.20 = 1,284.40 : x
  2. Step 2: Convert to fraction form
    1,873.30/2,584.20 = 1,284.40/x
  3. Step 3: Cross multiply
    1,873.30x = 2,584.20 × 1,284.40
  4. Step 4: Simplify right side
    1,873.30x = 3,319,146.48
  5. Step 5: Solve for x
    x = 3,319,146.48/1,873.30
  6. Step 6: Final answer
    x = 1,771.82

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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.