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Finding the Fourth Proportional to 1,424.50, 1,962.76 and 957.94

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Solution

The fourth proportional to 1,424.50, 1,962.76 and 957.94 is: 1,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.50 : 1,962.76 = 957.94 : x
  2. Step 2: Convert to fraction form
    1,424.50/1,962.76 = 957.94/x
  3. Step 3: Cross multiply
    1,424.50x = 1,962.76 × 957.94
  4. Step 4: Simplify right side
    1,424.50x = 1,880,206.31
  5. Step 5: Solve for x
    x = 1,880,206.31/1,424.50
  6. Step 6: Final answer
    x = 1,319.91

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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.