Home / 1,432.18-1,976.37-802.74

Finding the Fourth Proportional to 1,432.18, 1,976.37 and 802.74

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Solution

The fourth proportional to 1,432.18, 1,976.37 and 802.74 is: 1,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.18 : 1,976.37 = 802.74 : x
  2. Step 2: Convert to fraction form
    1,432.18/1,976.37 = 802.74/x
  3. Step 3: Cross multiply
    1,432.18x = 1,976.37 × 802.74
  4. Step 4: Simplify right side
    1,432.18x = 1,586,511.25
  5. Step 5: Solve for x
    x = 1,586,511.25/1,432.18
  6. Step 6: Final answer
    x = 1,107.76

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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.