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Finding the Fourth Proportional to 2,842.08, 4,260.16 and 1,302.72

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Solution

The fourth proportional to 2,842.08, 4,260.16 and 1,302.72 is: 1,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.08 : 4,260.16 = 1,302.72 : x
  2. Step 2: Convert to fraction form
    2,842.08/4,260.16 = 1,302.72/x
  3. Step 3: Cross multiply
    2,842.08x = 4,260.16 × 1,302.72
  4. Step 4: Simplify right side
    2,842.08x = 5,549,795.64
  5. Step 5: Solve for x
    x = 5,549,795.64/2,842.08
  6. Step 6: Final answer
    x = 1,952.72

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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.