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Finding the Fourth Proportional to 1,430.92, 1,973.46 and 1,100.16

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Solution

The fourth proportional to 1,430.92, 1,973.46 and 1,100.16 is: 1,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.92 : 1,973.46 = 1,100.16 : x
  2. Step 2: Convert to fraction form
    1,430.92/1,973.46 = 1,100.16/x
  3. Step 3: Cross multiply
    1,430.92x = 1,973.46 × 1,100.16
  4. Step 4: Simplify right side
    1,430.92x = 2,171,121.75
  5. Step 5: Solve for x
    x = 2,171,121.75/1,430.92
  6. Step 6: Final answer
    x = 1,517.29

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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.