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Finding the Fourth Proportional to 1,381.89, 2,070.72 and 1,033.59

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Solution

The fourth proportional to 1,381.89, 2,070.72 and 1,033.59 is: 1,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.89 : 2,070.72 = 1,033.59 : x
  2. Step 2: Convert to fraction form
    1,381.89/2,070.72 = 1,033.59/x
  3. Step 3: Cross multiply
    1,381.89x = 2,070.72 × 1,033.59
  4. Step 4: Simplify right side
    1,381.89x = 2,140,275.48
  5. Step 5: Solve for x
    x = 2,140,275.48/1,381.89
  6. Step 6: Final answer
    x = 1,548.80

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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.