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Finding the Fourth Proportional to 1,402.02, 2,100.71 and 852.54

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Solution

The fourth proportional to 1,402.02, 2,100.71 and 852.54 is: 1,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.02 : 2,100.71 = 852.54 : x
  2. Step 2: Convert to fraction form
    1,402.02/2,100.71 = 852.54/x
  3. Step 3: Cross multiply
    1,402.02x = 2,100.71 × 852.54
  4. Step 4: Simplify right side
    1,402.02x = 1,790,935.04
  5. Step 5: Solve for x
    x = 1,790,935.04/1,402.02
  6. Step 6: Final answer
    x = 1,277.40

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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.