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Finding the Fourth Proportional to 1,710.19, 2,563.49 and 968.88

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Solution

The fourth proportional to 1,710.19, 2,563.49 and 968.88 is: 1,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.19 : 2,563.49 = 968.88 : x
  2. Step 2: Convert to fraction form
    1,710.19/2,563.49 = 968.88/x
  3. Step 3: Cross multiply
    1,710.19x = 2,563.49 × 968.88
  4. Step 4: Simplify right side
    1,710.19x = 2,483,714.19
  5. Step 5: Solve for x
    x = 2,483,714.19/1,710.19
  6. Step 6: Final answer
    x = 1,452.30

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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.