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Finding the Fourth Proportional to 2,402.03, 3,603.50 and 1,654.70

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Solution

The fourth proportional to 2,402.03, 3,603.50 and 1,654.70 is: 2,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.03 : 3,603.50 = 1,654.70 : x
  2. Step 2: Convert to fraction form
    2,402.03/3,603.50 = 1,654.70/x
  3. Step 3: Cross multiply
    2,402.03x = 3,603.50 × 1,654.70
  4. Step 4: Simplify right side
    2,402.03x = 5,962,685.16
  5. Step 5: Solve for x
    x = 5,962,685.16/2,402.03
  6. Step 6: Final answer
    x = 2,482.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.