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Finding the Fourth Proportional to 1,430.18, 2,143.92 and 505.22

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Solution

The fourth proportional to 1,430.18, 2,143.92 and 505.22 is: 757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.18 : 2,143.92 = 505.22 : x
  2. Step 2: Convert to fraction form
    1,430.18/2,143.92 = 505.22/x
  3. Step 3: Cross multiply
    1,430.18x = 2,143.92 × 505.22
  4. Step 4: Simplify right side
    1,430.18x = 1,083,151.26
  5. Step 5: Solve for x
    x = 1,083,151.26/1,430.18
  6. Step 6: Final answer
    x = 757.35

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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.