Home / 1,548.71-2,319.92-962.27

Finding the Fourth Proportional to 1,548.71, 2,319.92 and 962.27

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Solution

The fourth proportional to 1,548.71, 2,319.92 and 962.27 is: 1,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.71 : 2,319.92 = 962.27 : x
  2. Step 2: Convert to fraction form
    1,548.71/2,319.92 = 962.27/x
  3. Step 3: Cross multiply
    1,548.71x = 2,319.92 × 962.27
  4. Step 4: Simplify right side
    1,548.71x = 2,232,389.42
  5. Step 5: Solve for x
    x = 2,232,389.42/1,548.71
  6. Step 6: Final answer
    x = 1,441.45

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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.