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Finding the Fourth Proportional to 2,842.04, 4,262.70 and 894.26

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Solution

The fourth proportional to 2,842.04, 4,262.70 and 894.26 is: 1,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.04 : 4,262.70 = 894.26 : x
  2. Step 2: Convert to fraction form
    2,842.04/4,262.70 = 894.26/x
  3. Step 3: Cross multiply
    2,842.04x = 4,262.70 × 894.26
  4. Step 4: Simplify right side
    2,842.04x = 3,811,962.10
  5. Step 5: Solve for x
    x = 3,811,962.10/2,842.04
  6. Step 6: Final answer
    x = 1,341.28

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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.