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Finding the Fourth Proportional to 2,334.83, 3,497.46 and 1,870.09

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Solution

The fourth proportional to 2,334.83, 3,497.46 and 1,870.09 is: 2,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.83 : 3,497.46 = 1,870.09 : x
  2. Step 2: Convert to fraction form
    2,334.83/3,497.46 = 1,870.09/x
  3. Step 3: Cross multiply
    2,334.83x = 3,497.46 × 1,870.09
  4. Step 4: Simplify right side
    2,334.83x = 6,540,569.34
  5. Step 5: Solve for x
    x = 6,540,569.34/2,334.83
  6. Step 6: Final answer
    x = 2,801.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.