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Finding the Fourth Proportional to 1,559.12, 2,151.60 and 860.52

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Solution

The fourth proportional to 1,559.12, 2,151.60 and 860.52 is: 1,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.12 : 2,151.60 = 860.52 : x
  2. Step 2: Convert to fraction form
    1,559.12/2,151.60 = 860.52/x
  3. Step 3: Cross multiply
    1,559.12x = 2,151.60 × 860.52
  4. Step 4: Simplify right side
    1,559.12x = 1,851,494.83
  5. Step 5: Solve for x
    x = 1,851,494.83/1,559.12
  6. Step 6: Final answer
    x = 1,187.53

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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.