Home / 1,548.65-2,322.30-962.77

Finding the Fourth Proportional to 1,548.65, 2,322.30 and 962.77

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Solution

The fourth proportional to 1,548.65, 2,322.30 and 962.77 is: 1,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.65 : 2,322.30 = 962.77 : x
  2. Step 2: Convert to fraction form
    1,548.65/2,322.30 = 962.77/x
  3. Step 3: Cross multiply
    1,548.65x = 2,322.30 × 962.77
  4. Step 4: Simplify right side
    1,548.65x = 2,235,829.16
  5. Step 5: Solve for x
    x = 2,235,829.16/1,548.65
  6. Step 6: Final answer
    x = 1,443.73

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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.