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Finding the Fourth Proportional to 1,430.88, 2,142.96 and 942.52

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Solution

The fourth proportional to 1,430.88, 2,142.96 and 942.52 is: 1,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.88 : 2,142.96 = 942.52 : x
  2. Step 2: Convert to fraction form
    1,430.88/2,142.96 = 942.52/x
  3. Step 3: Cross multiply
    1,430.88x = 2,142.96 × 942.52
  4. Step 4: Simplify right side
    1,430.88x = 2,019,782.66
  5. Step 5: Solve for x
    x = 2,019,782.66/1,430.88
  6. Step 6: Final answer
    x = 1,411.57

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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.