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Finding the Fourth Proportional to 4,281.04, 6,417.20 and 1,680.40

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Solution

The fourth proportional to 4,281.04, 6,417.20 and 1,680.40 is: 2,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.04 : 6,417.20 = 1,680.40 : x
  2. Step 2: Convert to fraction form
    4,281.04/6,417.20 = 1,680.40/x
  3. Step 3: Cross multiply
    4,281.04x = 6,417.20 × 1,680.40
  4. Step 4: Simplify right side
    4,281.04x = 10,783,462.88
  5. Step 5: Solve for x
    x = 10,783,462.88/4,281.04
  6. Step 6: Final answer
    x = 2,518.89

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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.