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Finding the Fourth Proportional to 2,143.04, 2,953.86 and 1,434.63

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Solution

The fourth proportional to 2,143.04, 2,953.86 and 1,434.63 is: 1,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.04 : 2,953.86 = 1,434.63 : x
  2. Step 2: Convert to fraction form
    2,143.04/2,953.86 = 1,434.63/x
  3. Step 3: Cross multiply
    2,143.04x = 2,953.86 × 1,434.63
  4. Step 4: Simplify right side
    2,143.04x = 4,237,696.17
  5. Step 5: Solve for x
    x = 4,237,696.17/2,143.04
  6. Step 6: Final answer
    x = 1,977.42

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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.