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Finding the Fourth Proportional to 2,414.95, 3,332.34 and 1,352.77

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Solution

The fourth proportional to 2,414.95, 3,332.34 and 1,352.77 is: 1,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.95 : 3,332.34 = 1,352.77 : x
  2. Step 2: Convert to fraction form
    2,414.95/3,332.34 = 1,352.77/x
  3. Step 3: Cross multiply
    2,414.95x = 3,332.34 × 1,352.77
  4. Step 4: Simplify right side
    2,414.95x = 4,507,881.25
  5. Step 5: Solve for x
    x = 4,507,881.25/2,414.95
  6. Step 6: Final answer
    x = 1,866.66

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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.