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Finding the Fourth Proportional to 2,341.80, 3,495.62 and 2,046.22

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Solution

The fourth proportional to 2,341.80, 3,495.62 and 2,046.22 is: 3,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.80 : 3,495.62 = 2,046.22 : x
  2. Step 2: Convert to fraction form
    2,341.80/3,495.62 = 2,046.22/x
  3. Step 3: Cross multiply
    2,341.80x = 3,495.62 × 2,046.22
  4. Step 4: Simplify right side
    2,341.80x = 7,152,797.29
  5. Step 5: Solve for x
    x = 7,152,797.29/2,341.80
  6. Step 6: Final answer
    x = 3,054.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.