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Finding the Fourth Proportional to 1,430.26, 1,973.01 and 1,080.34

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Solution

The fourth proportional to 1,430.26, 1,973.01 and 1,080.34 is: 1,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.26 : 1,973.01 = 1,080.34 : x
  2. Step 2: Convert to fraction form
    1,430.26/1,973.01 = 1,080.34/x
  3. Step 3: Cross multiply
    1,430.26x = 1,973.01 × 1,080.34
  4. Step 4: Simplify right side
    1,430.26x = 2,131,521.62
  5. Step 5: Solve for x
    x = 2,131,521.62/1,430.26
  6. Step 6: Final answer
    x = 1,490.30

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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.