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Finding the Fourth Proportional to 1,559.53, 2,152.09 and 860.89

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Solution

The fourth proportional to 1,559.53, 2,152.09 and 860.89 is: 1,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.53 : 2,152.09 = 860.89 : x
  2. Step 2: Convert to fraction form
    1,559.53/2,152.09 = 860.89/x
  3. Step 3: Cross multiply
    1,559.53x = 2,152.09 × 860.89
  4. Step 4: Simplify right side
    1,559.53x = 1,852,712.76
  5. Step 5: Solve for x
    x = 1,852,712.76/1,559.53
  6. Step 6: Final answer
    x = 1,187.99

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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.