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Finding the Fourth Proportional to 1,802.54, 2,716.73 and 1,702.06

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Solution

The fourth proportional to 1,802.54, 2,716.73 and 1,702.06 is: 2,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.54 : 2,716.73 = 1,702.06 : x
  2. Step 2: Convert to fraction form
    1,802.54/2,716.73 = 1,702.06/x
  3. Step 3: Cross multiply
    1,802.54x = 2,716.73 × 1,702.06
  4. Step 4: Simplify right side
    1,802.54x = 4,624,037.46
  5. Step 5: Solve for x
    x = 4,624,037.46/1,802.54
  6. Step 6: Final answer
    x = 2,565.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.