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Finding the Fourth Proportional to 1,883.92, 2,598.60 and 1,184.08

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Solution

The fourth proportional to 1,883.92, 2,598.60 and 1,184.08 is: 1,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.92 : 2,598.60 = 1,184.08 : x
  2. Step 2: Convert to fraction form
    1,883.92/2,598.60 = 1,184.08/x
  3. Step 3: Cross multiply
    1,883.92x = 2,598.60 × 1,184.08
  4. Step 4: Simplify right side
    1,883.92x = 3,076,950.29
  5. Step 5: Solve for x
    x = 3,076,950.29/1,883.92
  6. Step 6: Final answer
    x = 1,633.27

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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.