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Finding the Fourth Proportional to 1,790.52, 2,675.54 and 1,342.86

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Solution

The fourth proportional to 1,790.52, 2,675.54 and 1,342.86 is: 2,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.52 : 2,675.54 = 1,342.86 : x
  2. Step 2: Convert to fraction form
    1,790.52/2,675.54 = 1,342.86/x
  3. Step 3: Cross multiply
    1,790.52x = 2,675.54 × 1,342.86
  4. Step 4: Simplify right side
    1,790.52x = 3,592,875.64
  5. Step 5: Solve for x
    x = 3,592,875.64/1,790.52
  6. Step 6: Final answer
    x = 2,006.61

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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.