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Finding the Fourth Proportional to 1,709.52, 2,562.66 and 735

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Solution

The fourth proportional to 1,709.52, 2,562.66 and 735 is: 1,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.52 : 2,562.66 = 735 : x
  2. Step 2: Convert to fraction form
    1,709.52/2,562.66 = 735/x
  3. Step 3: Cross multiply
    1,709.52x = 2,562.66 × 735
  4. Step 4: Simplify right side
    1,709.52x = 1,883,555.10
  5. Step 5: Solve for x
    x = 1,883,555.10/1,709.52
  6. Step 6: Final answer
    x = 1,101.80

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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.