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Finding the Fourth Proportional to 2,358.01, 3,537.02 and 1,382.77

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Solution

The fourth proportional to 2,358.01, 3,537.02 and 1,382.77 is: 2,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.01 : 3,537.02 = 1,382.77 : x
  2. Step 2: Convert to fraction form
    2,358.01/3,537.02 = 1,382.77/x
  3. Step 3: Cross multiply
    2,358.01x = 3,537.02 × 1,382.77
  4. Step 4: Simplify right side
    2,358.01x = 4,890,885.15
  5. Step 5: Solve for x
    x = 4,890,885.15/2,358.01
  6. Step 6: Final answer
    x = 2,074.16

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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.