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Finding the Fourth Proportional to 1,587.37, 2,190.83 and 924.61

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Solution

The fourth proportional to 1,587.37, 2,190.83 and 924.61 is: 1,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.37 : 2,190.83 = 924.61 : x
  2. Step 2: Convert to fraction form
    1,587.37/2,190.83 = 924.61/x
  3. Step 3: Cross multiply
    1,587.37x = 2,190.83 × 924.61
  4. Step 4: Simplify right side
    1,587.37x = 2,025,660.16
  5. Step 5: Solve for x
    x = 2,025,660.16/1,587.37
  6. Step 6: Final answer
    x = 1,276.11

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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.