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Finding the Fourth Proportional to 2,513.16, 3,767.08 and 845.70

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Solution

The fourth proportional to 2,513.16, 3,767.08 and 845.70 is: 1,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.16 : 3,767.08 = 845.70 : x
  2. Step 2: Convert to fraction form
    2,513.16/3,767.08 = 845.70/x
  3. Step 3: Cross multiply
    2,513.16x = 3,767.08 × 845.70
  4. Step 4: Simplify right side
    2,513.16x = 3,185,808.02
  5. Step 5: Solve for x
    x = 3,185,808.02/2,513.16
  6. Step 6: Final answer
    x = 1,267.65

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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.