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Finding the Fourth Proportional to 2,281.04, 3,422.16 and 894.40

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Solution

The fourth proportional to 2,281.04, 3,422.16 and 894.40 is: 1,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.04 : 3,422.16 = 894.40 : x
  2. Step 2: Convert to fraction form
    2,281.04/3,422.16 = 894.40/x
  3. Step 3: Cross multiply
    2,281.04x = 3,422.16 × 894.40
  4. Step 4: Simplify right side
    2,281.04x = 3,060,779.90
  5. Step 5: Solve for x
    x = 3,060,779.90/2,281.04
  6. Step 6: Final answer
    x = 1,341.84

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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.