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Finding the Fourth Proportional to 4,160.04, 6,231.69 and 1,970.88

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Solution

The fourth proportional to 4,160.04, 6,231.69 and 1,970.88 is: 2,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.04 : 6,231.69 = 1,970.88 : x
  2. Step 2: Convert to fraction form
    4,160.04/6,231.69 = 1,970.88/x
  3. Step 3: Cross multiply
    4,160.04x = 6,231.69 × 1,970.88
  4. Step 4: Simplify right side
    4,160.04x = 12,281,913.19
  5. Step 5: Solve for x
    x = 12,281,913.19/4,160.04
  6. Step 6: Final answer
    x = 2,952.35

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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.