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Finding the Fourth Proportional to 1,708.65, 2,561.09 and 1,570.26

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Solution

The fourth proportional to 1,708.65, 2,561.09 and 1,570.26 is: 2,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.65 : 2,561.09 = 1,570.26 : x
  2. Step 2: Convert to fraction form
    1,708.65/2,561.09 = 1,570.26/x
  3. Step 3: Cross multiply
    1,708.65x = 2,561.09 × 1,570.26
  4. Step 4: Simplify right side
    1,708.65x = 4,021,577.18
  5. Step 5: Solve for x
    x = 4,021,577.18/1,708.65
  6. Step 6: Final answer
    x = 2,353.66

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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.