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Finding the Fourth Proportional to 1,929.42, 2,663.24 and 1,184.00

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Solution

The fourth proportional to 1,929.42, 2,663.24 and 1,184.00 is: 1,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.42 : 2,663.24 = 1,184.00 : x
  2. Step 2: Convert to fraction form
    1,929.42/2,663.24 = 1,184.00/x
  3. Step 3: Cross multiply
    1,929.42x = 2,663.24 × 1,184.00
  4. Step 4: Simplify right side
    1,929.42x = 3,153,256.92
  5. Step 5: Solve for x
    x = 3,153,256.92/1,929.42
  6. Step 6: Final answer
    x = 1,634.30

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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.