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Finding the Fourth Proportional to 1,678.96, 2,517 and 652.40

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Solution

The fourth proportional to 1,678.96, 2,517 and 652.40 is: 978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.96 : 2,517 = 652.40 : x
  2. Step 2: Convert to fraction form
    1,678.96/2,517 = 652.40/x
  3. Step 3: Cross multiply
    1,678.96x = 2,517 × 652.40
  4. Step 4: Simplify right side
    1,678.96x = 1,642,090.80
  5. Step 5: Solve for x
    x = 1,642,090.80/1,678.96
  6. Step 6: Final answer
    x = 978.04

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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.