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Finding the Fourth Proportional to 1,785.92, 2,679.08 and 1,602.18

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Solution

The fourth proportional to 1,785.92, 2,679.08 and 1,602.18 is: 2,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.92 : 2,679.08 = 1,602.18 : x
  2. Step 2: Convert to fraction form
    1,785.92/2,679.08 = 1,602.18/x
  3. Step 3: Cross multiply
    1,785.92x = 2,679.08 × 1,602.18
  4. Step 4: Simplify right side
    1,785.92x = 4,292,360.38
  5. Step 5: Solve for x
    x = 4,292,360.38/1,785.92
  6. Step 6: Final answer
    x = 2,403.45

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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.