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Finding the Fourth Proportional to 1,587.37, 2,190.21 and 958.00

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Solution

The fourth proportional to 1,587.37, 2,190.21 and 958.00 is: 1,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.37 : 2,190.21 = 958.00 : x
  2. Step 2: Convert to fraction form
    1,587.37/2,190.21 = 958.00/x
  3. Step 3: Cross multiply
    1,587.37x = 2,190.21 × 958.00
  4. Step 4: Simplify right side
    1,587.37x = 2,098,210.23
  5. Step 5: Solve for x
    x = 2,098,210.23/1,587.37
  6. Step 6: Final answer
    x = 1,321.82

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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.