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Finding the Fourth Proportional to 2,281.23, 3,421.35 and 894.12

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Solution

The fourth proportional to 2,281.23, 3,421.35 and 894.12 is: 1,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.23 : 3,421.35 = 894.12 : x
  2. Step 2: Convert to fraction form
    2,281.23/3,421.35 = 894.12/x
  3. Step 3: Cross multiply
    2,281.23x = 3,421.35 × 894.12
  4. Step 4: Simplify right side
    2,281.23x = 3,059,097.46
  5. Step 5: Solve for x
    x = 3,059,097.46/2,281.23
  6. Step 6: Final answer
    x = 1,340.99

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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.