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Finding the Fourth Proportional to 1,654.09, 2,480.14 and 652.24

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Solution

The fourth proportional to 1,654.09, 2,480.14 and 652.24 is: 977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.09 : 2,480.14 = 652.24 : x
  2. Step 2: Convert to fraction form
    1,654.09/2,480.14 = 652.24/x
  3. Step 3: Cross multiply
    1,654.09x = 2,480.14 × 652.24
  4. Step 4: Simplify right side
    1,654.09x = 1,617,632.81
  5. Step 5: Solve for x
    x = 1,617,632.81/1,654.09
  6. Step 6: Final answer
    x = 977.96

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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.