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Finding the Fourth Proportional to 1,883.90, 2,824.93 and 650.87

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Solution

The fourth proportional to 1,883.90, 2,824.93 and 650.87 is: 975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.90 : 2,824.93 = 650.87 : x
  2. Step 2: Convert to fraction form
    1,883.90/2,824.93 = 650.87/x
  3. Step 3: Cross multiply
    1,883.90x = 2,824.93 × 650.87
  4. Step 4: Simplify right side
    1,883.90x = 1,838,670.07
  5. Step 5: Solve for x
    x = 1,838,670.07/1,883.90
  6. Step 6: Final answer
    x = 975.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.