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Finding the Fourth Proportional to 2,141.48, 3,210.03 and 1,215.08

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Solution

The fourth proportional to 2,141.48, 3,210.03 and 1,215.08 is: 1,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.48 : 3,210.03 = 1,215.08 : x
  2. Step 2: Convert to fraction form
    2,141.48/3,210.03 = 1,215.08/x
  3. Step 3: Cross multiply
    2,141.48x = 3,210.03 × 1,215.08
  4. Step 4: Simplify right side
    2,141.48x = 3,900,440.37
  5. Step 5: Solve for x
    x = 3,900,440.37/2,141.48
  6. Step 6: Final answer
    x = 1,821.38

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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.