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Finding the Fourth Proportional to 2,665.51, 3,677.30 and 1,602.89

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Solution

The fourth proportional to 2,665.51, 3,677.30 and 1,602.89 is: 2,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.51 : 3,677.30 = 1,602.89 : x
  2. Step 2: Convert to fraction form
    2,665.51/3,677.30 = 1,602.89/x
  3. Step 3: Cross multiply
    2,665.51x = 3,677.30 × 1,602.89
  4. Step 4: Simplify right side
    2,665.51x = 5,894,300.80
  5. Step 5: Solve for x
    x = 5,894,300.80/2,665.51
  6. Step 6: Final answer
    x = 2,211.32

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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.