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Finding the Fourth Proportional to 1,767.02, 2,651.30 and 842.59

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Solution

The fourth proportional to 1,767.02, 2,651.30 and 842.59 is: 1,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.02 : 2,651.30 = 842.59 : x
  2. Step 2: Convert to fraction form
    1,767.02/2,651.30 = 842.59/x
  3. Step 3: Cross multiply
    1,767.02x = 2,651.30 × 842.59
  4. Step 4: Simplify right side
    1,767.02x = 2,233,941.40
  5. Step 5: Solve for x
    x = 2,233,941.40/1,767.02
  6. Step 6: Final answer
    x = 1,264.24

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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.