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Finding the Fourth Proportional to 1,426.50, 1,967.53 and 953.57

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Solution

The fourth proportional to 1,426.50, 1,967.53 and 953.57 is: 1,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.50 : 1,967.53 = 953.57 : x
  2. Step 2: Convert to fraction form
    1,426.50/1,967.53 = 953.57/x
  3. Step 3: Cross multiply
    1,426.50x = 1,967.53 × 953.57
  4. Step 4: Simplify right side
    1,426.50x = 1,876,168.07
  5. Step 5: Solve for x
    x = 1,876,168.07/1,426.50
  6. Step 6: Final answer
    x = 1,315.22

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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.