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Finding the Fourth Proportional to 1,802.79, 2,702.34 and 705.66

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Solution

The fourth proportional to 1,802.79, 2,702.34 and 705.66 is: 1,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.79 : 2,702.34 = 705.66 : x
  2. Step 2: Convert to fraction form
    1,802.79/2,702.34 = 705.66/x
  3. Step 3: Cross multiply
    1,802.79x = 2,702.34 × 705.66
  4. Step 4: Simplify right side
    1,802.79x = 1,906,933.24
  5. Step 5: Solve for x
    x = 1,906,933.24/1,802.79
  6. Step 6: Final answer
    x = 1,057.77

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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.