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Finding the Fourth Proportional to 2,135.04, 2,945.76 and 1,251.06

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Solution

The fourth proportional to 2,135.04, 2,945.76 and 1,251.06 is: 1,726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.04 : 2,945.76 = 1,251.06 : x
  2. Step 2: Convert to fraction form
    2,135.04/2,945.76 = 1,251.06/x
  3. Step 3: Cross multiply
    2,135.04x = 2,945.76 × 1,251.06
  4. Step 4: Simplify right side
    2,135.04x = 3,685,322.51
  5. Step 5: Solve for x
    x = 3,685,322.51/2,135.04
  6. Step 6: Final answer
    x = 1,726.11

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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.