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Finding the Fourth Proportional to 1,558.69, 2,150.89 and 860.07

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Solution

The fourth proportional to 1,558.69, 2,150.89 and 860.07 is: 1,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.69 : 2,150.89 = 860.07 : x
  2. Step 2: Convert to fraction form
    1,558.69/2,150.89 = 860.07/x
  3. Step 3: Cross multiply
    1,558.69x = 2,150.89 × 860.07
  4. Step 4: Simplify right side
    1,558.69x = 1,849,915.96
  5. Step 5: Solve for x
    x = 1,849,915.96/1,558.69
  6. Step 6: Final answer
    x = 1,186.84

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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.