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Finding the Fourth Proportional to 2,398.47, 3,603.15 and 2,070.42

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Solution

The fourth proportional to 2,398.47, 3,603.15 and 2,070.42 is: 3,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.47 : 3,603.15 = 2,070.42 : x
  2. Step 2: Convert to fraction form
    2,398.47/3,603.15 = 2,070.42/x
  3. Step 3: Cross multiply
    2,398.47x = 3,603.15 × 2,070.42
  4. Step 4: Simplify right side
    2,398.47x = 7,460,033.82
  5. Step 5: Solve for x
    x = 7,460,033.82/2,398.47
  6. Step 6: Final answer
    x = 3,110.33

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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.