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Finding the Fourth Proportional to 1,210.36, 1,815.48 and 344.68

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Solution

The fourth proportional to 1,210.36, 1,815.48 and 344.68 is: 517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.36 : 1,815.48 = 344.68 : x
  2. Step 2: Convert to fraction form
    1,210.36/1,815.48 = 344.68/x
  3. Step 3: Cross multiply
    1,210.36x = 1,815.48 × 344.68
  4. Step 4: Simplify right side
    1,210.36x = 625,759.65
  5. Step 5: Solve for x
    x = 625,759.65/1,210.36
  6. Step 6: Final answer
    x = 517.00

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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.