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Finding the Fourth Proportional to 2,952.07, 4,070.07 and 2,419

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Solution

The fourth proportional to 2,952.07, 4,070.07 and 2,419 is: 3,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.07 : 4,070.07 = 2,419 : x
  2. Step 2: Convert to fraction form
    2,952.07/4,070.07 = 2,419/x
  3. Step 3: Cross multiply
    2,952.07x = 4,070.07 × 2,419
  4. Step 4: Simplify right side
    2,952.07x = 9,845,499.33
  5. Step 5: Solve for x
    x = 9,845,499.33/2,952.07
  6. Step 6: Final answer
    x = 3,335.12

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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.