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Finding the Fourth Proportional to 1,430.49, 2,146.20 and 992.18

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Solution

The fourth proportional to 1,430.49, 2,146.20 and 992.18 is: 1,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.49 : 2,146.20 = 992.18 : x
  2. Step 2: Convert to fraction form
    1,430.49/2,146.20 = 992.18/x
  3. Step 3: Cross multiply
    1,430.49x = 2,146.20 × 992.18
  4. Step 4: Simplify right side
    1,430.49x = 2,129,418.36
  5. Step 5: Solve for x
    x = 2,129,418.36/1,430.49
  6. Step 6: Final answer
    x = 1,488.59

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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.