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Finding the Fourth Proportional to 1,430.73, 1,973.61 and 841.19

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Solution

The fourth proportional to 1,430.73, 1,973.61 and 841.19 is: 1,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.73 : 1,973.61 = 841.19 : x
  2. Step 2: Convert to fraction form
    1,430.73/1,973.61 = 841.19/x
  3. Step 3: Cross multiply
    1,430.73x = 1,973.61 × 841.19
  4. Step 4: Simplify right side
    1,430.73x = 1,660,171.13
  5. Step 5: Solve for x
    x = 1,660,171.13/1,430.73
  6. Step 6: Final answer
    x = 1,160.37

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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.