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Finding the Fourth Proportional to 1,948.77, 2,923.05 and 962.31

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Solution

The fourth proportional to 1,948.77, 2,923.05 and 962.31 is: 1,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.77 : 2,923.05 = 962.31 : x
  2. Step 2: Convert to fraction form
    1,948.77/2,923.05 = 962.31/x
  3. Step 3: Cross multiply
    1,948.77x = 2,923.05 × 962.31
  4. Step 4: Simplify right side
    1,948.77x = 2,812,880.25
  5. Step 5: Solve for x
    x = 2,812,880.25/1,948.77
  6. Step 6: Final answer
    x = 1,443.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.