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Finding the Fourth Proportional to 1,402.59, 2,103.83 and 943.65

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Solution

The fourth proportional to 1,402.59, 2,103.83 and 943.65 is: 1,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.59 : 2,103.83 = 943.65 : x
  2. Step 2: Convert to fraction form
    1,402.59/2,103.83 = 943.65/x
  3. Step 3: Cross multiply
    1,402.59x = 2,103.83 × 943.65
  4. Step 4: Simplify right side
    1,402.59x = 1,985,274.46
  5. Step 5: Solve for x
    x = 1,985,274.46/1,402.59
  6. Step 6: Final answer
    x = 1,415.43

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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.