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Finding the Fourth Proportional to 2,808.16, 4,210.72 and 1,164.40

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Solution

The fourth proportional to 2,808.16, 4,210.72 and 1,164.40 is: 1,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.16 : 4,210.72 = 1,164.40 : x
  2. Step 2: Convert to fraction form
    2,808.16/4,210.72 = 1,164.40/x
  3. Step 3: Cross multiply
    2,808.16x = 4,210.72 × 1,164.40
  4. Step 4: Simplify right side
    2,808.16x = 4,902,962.37
  5. Step 5: Solve for x
    x = 4,902,962.37/2,808.16
  6. Step 6: Final answer
    x = 1,745.97

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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.