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Finding the Fourth Proportional to 3,160.04, 4,740.68 and 969.08

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Solution

The fourth proportional to 3,160.04, 4,740.68 and 969.08 is: 1,453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.04 : 4,740.68 = 969.08 : x
  2. Step 2: Convert to fraction form
    3,160.04/4,740.68 = 969.08/x
  3. Step 3: Cross multiply
    3,160.04x = 4,740.68 × 969.08
  4. Step 4: Simplify right side
    3,160.04x = 4,594,098.17
  5. Step 5: Solve for x
    x = 4,594,098.17/3,160.04
  6. Step 6: Final answer
    x = 1,453.81

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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.