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Finding the Fourth Proportional to 2,402.02, 3,308.14 and 2,070.33

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Solution

The fourth proportional to 2,402.02, 3,308.14 and 2,070.33 is: 2,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.02 : 3,308.14 = 2,070.33 : x
  2. Step 2: Convert to fraction form
    2,402.02/3,308.14 = 2,070.33/x
  3. Step 3: Cross multiply
    2,402.02x = 3,308.14 × 2,070.33
  4. Step 4: Simplify right side
    2,402.02x = 6,848,931.67
  5. Step 5: Solve for x
    x = 6,848,931.67/2,402.02
  6. Step 6: Final answer
    x = 2,851.32

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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.