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Finding the Fourth Proportional to 1,602.05, 2,209.78 and 1,130.63

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Solution

The fourth proportional to 1,602.05, 2,209.78 and 1,130.63 is: 1,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.05 : 2,209.78 = 1,130.63 : x
  2. Step 2: Convert to fraction form
    1,602.05/2,209.78 = 1,130.63/x
  3. Step 3: Cross multiply
    1,602.05x = 2,209.78 × 1,130.63
  4. Step 4: Simplify right side
    1,602.05x = 2,498,433.93
  5. Step 5: Solve for x
    x = 2,498,433.93/1,602.05
  6. Step 6: Final answer
    x = 1,559.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.