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Finding the Fourth Proportional to 1,835.83, 2,740.54 and 1,573

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Solution

The fourth proportional to 1,835.83, 2,740.54 and 1,573 is: 2,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.83 : 2,740.54 = 1,573 : x
  2. Step 2: Convert to fraction form
    1,835.83/2,740.54 = 1,573/x
  3. Step 3: Cross multiply
    1,835.83x = 2,740.54 × 1,573
  4. Step 4: Simplify right side
    1,835.83x = 4,310,869.42
  5. Step 5: Solve for x
    x = 4,310,869.42/1,835.83
  6. Step 6: Final answer
    x = 2,348.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.