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Finding the Fourth Proportional to 2,402.44, 3,600.06 and 1,785.16

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Solution

The fourth proportional to 2,402.44, 3,600.06 and 1,785.16 is: 2,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.44 : 3,600.06 = 1,785.16 : x
  2. Step 2: Convert to fraction form
    2,402.44/3,600.06 = 1,785.16/x
  3. Step 3: Cross multiply
    2,402.44x = 3,600.06 × 1,785.16
  4. Step 4: Simplify right side
    2,402.44x = 6,426,683.11
  5. Step 5: Solve for x
    x = 6,426,683.11/2,402.44
  6. Step 6: Final answer
    x = 2,675.06

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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.