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Finding the Fourth Proportional to 1,559.09, 2,151.29 and 970.43

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Solution

The fourth proportional to 1,559.09, 2,151.29 and 970.43 is: 1,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.09 : 2,151.29 = 970.43 : x
  2. Step 2: Convert to fraction form
    1,559.09/2,151.29 = 970.43/x
  3. Step 3: Cross multiply
    1,559.09x = 2,151.29 × 970.43
  4. Step 4: Simplify right side
    1,559.09x = 2,087,668.02
  5. Step 5: Solve for x
    x = 2,087,668.02/1,559.09
  6. Step 6: Final answer
    x = 1,339.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.