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Finding the Fourth Proportional to 1,559.76, 2,151.72 and 970.98

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Solution

The fourth proportional to 1,559.76, 2,151.72 and 970.98 is: 1,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.76 : 2,151.72 = 970.98 : x
  2. Step 2: Convert to fraction form
    1,559.76/2,151.72 = 970.98/x
  3. Step 3: Cross multiply
    1,559.76x = 2,151.72 × 970.98
  4. Step 4: Simplify right side
    1,559.76x = 2,089,277.09
  5. Step 5: Solve for x
    x = 2,089,277.09/1,559.76
  6. Step 6: Final answer
    x = 1,339.49

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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.