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Finding the Fourth Proportional to 2,397.21, 3,308.16 and 1,402.29

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Solution

The fourth proportional to 2,397.21, 3,308.16 and 1,402.29 is: 1,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.21 : 3,308.16 = 1,402.29 : x
  2. Step 2: Convert to fraction form
    2,397.21/3,308.16 = 1,402.29/x
  3. Step 3: Cross multiply
    2,397.21x = 3,308.16 × 1,402.29
  4. Step 4: Simplify right side
    2,397.21x = 4,638,992.67
  5. Step 5: Solve for x
    x = 4,638,992.67/2,397.21
  6. Step 6: Final answer
    x = 1,935.17

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