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Finding the Fourth Proportional to 1,784.50, 2,462.00 and 1,076.07

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Solution

The fourth proportional to 1,784.50, 2,462.00 and 1,076.07 is: 1,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.50 : 2,462.00 = 1,076.07 : x
  2. Step 2: Convert to fraction form
    1,784.50/2,462.00 = 1,076.07/x
  3. Step 3: Cross multiply
    1,784.50x = 2,462.00 × 1,076.07
  4. Step 4: Simplify right side
    1,784.50x = 2,649,288.19
  5. Step 5: Solve for x
    x = 2,649,288.19/1,784.50
  6. Step 6: Final answer
    x = 1,484.61

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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.