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Finding the Fourth Proportional to 1,587.09, 2,189.68 and 957.83

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Solution

The fourth proportional to 1,587.09, 2,189.68 and 957.83 is: 1,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.09 : 2,189.68 = 957.83 : x
  2. Step 2: Convert to fraction form
    1,587.09/2,189.68 = 957.83/x
  3. Step 3: Cross multiply
    1,587.09x = 2,189.68 × 957.83
  4. Step 4: Simplify right side
    1,587.09x = 2,097,333.24
  5. Step 5: Solve for x
    x = 2,097,333.24/1,587.09
  6. Step 6: Final answer
    x = 1,321.49

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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.