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Finding the Fourth Proportional to 1,430.09, 1,976.09 and 1,116.15

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Solution

The fourth proportional to 1,430.09, 1,976.09 and 1,116.15 is: 1,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.09 : 1,976.09 = 1,116.15 : x
  2. Step 2: Convert to fraction form
    1,430.09/1,976.09 = 1,116.15/x
  3. Step 3: Cross multiply
    1,430.09x = 1,976.09 × 1,116.15
  4. Step 4: Simplify right side
    1,430.09x = 2,205,607.27
  5. Step 5: Solve for x
    x = 2,205,607.27/1,430.09
  6. Step 6: Final answer
    x = 1,542.29

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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.