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Finding the Fourth Proportional to 2,437.52, 3,365.31 and 1,730.84

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Solution

The fourth proportional to 2,437.52, 3,365.31 and 1,730.84 is: 2,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.52 : 3,365.31 = 1,730.84 : x
  2. Step 2: Convert to fraction form
    2,437.52/3,365.31 = 1,730.84/x
  3. Step 3: Cross multiply
    2,437.52x = 3,365.31 × 1,730.84
  4. Step 4: Simplify right side
    2,437.52x = 5,824,808.95
  5. Step 5: Solve for x
    x = 5,824,808.95/2,437.52
  6. Step 6: Final answer
    x = 2,389.65

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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.