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Finding the Fourth Proportional to 3,148.04, 4,346 and 2,206.72

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Solution

The fourth proportional to 3,148.04, 4,346 and 2,206.72 is: 3,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.04 : 4,346 = 2,206.72 : x
  2. Step 2: Convert to fraction form
    3,148.04/4,346 = 2,206.72/x
  3. Step 3: Cross multiply
    3,148.04x = 4,346 × 2,206.72
  4. Step 4: Simplify right side
    3,148.04x = 9,590,405.12
  5. Step 5: Solve for x
    x = 9,590,405.12/3,148.04
  6. Step 6: Final answer
    x = 3,046.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.