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Finding the Fourth Proportional to 2,140.78, 2,953.41 and 1,301.17

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Solution

The fourth proportional to 2,140.78, 2,953.41 and 1,301.17 is: 1,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.78 : 2,953.41 = 1,301.17 : x
  2. Step 2: Convert to fraction form
    2,140.78/2,953.41 = 1,301.17/x
  3. Step 3: Cross multiply
    2,140.78x = 2,953.41 × 1,301.17
  4. Step 4: Simplify right side
    2,140.78x = 3,842,888.49
  5. Step 5: Solve for x
    x = 3,842,888.49/2,140.78
  6. Step 6: Final answer
    x = 1,795.09

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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.