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Finding the Fourth Proportional to 1,762.29, 2,643.46 and 837.94

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Solution

The fourth proportional to 1,762.29, 2,643.46 and 837.94 is: 1,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.29 : 2,643.46 = 837.94 : x
  2. Step 2: Convert to fraction form
    1,762.29/2,643.46 = 837.94/x
  3. Step 3: Cross multiply
    1,762.29x = 2,643.46 × 837.94
  4. Step 4: Simplify right side
    1,762.29x = 2,215,060.87
  5. Step 5: Solve for x
    x = 2,215,060.87/1,762.29
  6. Step 6: Final answer
    x = 1,256.92

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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.