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Finding the Fourth Proportional to 1,789.30, 2,684.83 and 802.40

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Solution

The fourth proportional to 1,789.30, 2,684.83 and 802.40 is: 1,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.30 : 2,684.83 = 802.40 : x
  2. Step 2: Convert to fraction form
    1,789.30/2,684.83 = 802.40/x
  3. Step 3: Cross multiply
    1,789.30x = 2,684.83 × 802.40
  4. Step 4: Simplify right side
    1,789.30x = 2,154,307.59
  5. Step 5: Solve for x
    x = 2,154,307.59/1,789.30
  6. Step 6: Final answer
    x = 1,203.99

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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.