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Finding the Fourth Proportional to 1,655.46, 2,482.43 and 962.33

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Solution

The fourth proportional to 1,655.46, 2,482.43 and 962.33 is: 1,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.46 : 2,482.43 = 962.33 : x
  2. Step 2: Convert to fraction form
    1,655.46/2,482.43 = 962.33/x
  3. Step 3: Cross multiply
    1,655.46x = 2,482.43 × 962.33
  4. Step 4: Simplify right side
    1,655.46x = 2,388,908.25
  5. Step 5: Solve for x
    x = 2,388,908.25/1,655.46
  6. Step 6: Final answer
    x = 1,443.05

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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.