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Finding the Fourth Proportional to 4,430.34, 6,647.04 and 1,966.88

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Solution

The fourth proportional to 4,430.34, 6,647.04 and 1,966.88 is: 2,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.34 : 6,647.04 = 1,966.88 : x
  2. Step 2: Convert to fraction form
    4,430.34/6,647.04 = 1,966.88/x
  3. Step 3: Cross multiply
    4,430.34x = 6,647.04 × 1,966.88
  4. Step 4: Simplify right side
    4,430.34x = 13,073,946.65
  5. Step 5: Solve for x
    x = 13,073,946.65/4,430.34
  6. Step 6: Final answer
    x = 2,951.00

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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.