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Finding the Fourth Proportional to 1,710.23, 2,565.75 and 736.07

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Solution

The fourth proportional to 1,710.23, 2,565.75 and 736.07 is: 1,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.23 : 2,565.75 = 736.07 : x
  2. Step 2: Convert to fraction form
    1,710.23/2,565.75 = 736.07/x
  3. Step 3: Cross multiply
    1,710.23x = 2,565.75 × 736.07
  4. Step 4: Simplify right side
    1,710.23x = 1,888,571.60
  5. Step 5: Solve for x
    x = 1,888,571.60/1,710.23
  6. Step 6: Final answer
    x = 1,104.28

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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.