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Finding the Fourth Proportional to 2,952.57, 4,070.76 and 2,419.50

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Solution

The fourth proportional to 2,952.57, 4,070.76 and 2,419.50 is: 3,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.57 : 4,070.76 = 2,419.50 : x
  2. Step 2: Convert to fraction form
    2,952.57/4,070.76 = 2,419.50/x
  3. Step 3: Cross multiply
    2,952.57x = 4,070.76 × 2,419.50
  4. Step 4: Simplify right side
    2,952.57x = 9,849,203.82
  5. Step 5: Solve for x
    x = 9,849,203.82/2,952.57
  6. Step 6: Final answer
    x = 3,335.81

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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.