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Finding the Fourth Proportional to 1,710.90, 2,564.34 and 1,505.04

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Solution

The fourth proportional to 1,710.90, 2,564.34 and 1,505.04 is: 2,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.90 : 2,564.34 = 1,505.04 : x
  2. Step 2: Convert to fraction form
    1,710.90/2,564.34 = 1,505.04/x
  3. Step 3: Cross multiply
    1,710.90x = 2,564.34 × 1,505.04
  4. Step 4: Simplify right side
    1,710.90x = 3,859,434.27
  5. Step 5: Solve for x
    x = 3,859,434.27/1,710.90
  6. Step 6: Final answer
    x = 2,255.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.