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Finding the Fourth Proportional to 2,336.71, 3,506.13 and 875.98

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Solution

The fourth proportional to 2,336.71, 3,506.13 and 875.98 is: 1,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.71 : 3,506.13 = 875.98 : x
  2. Step 2: Convert to fraction form
    2,336.71/3,506.13 = 875.98/x
  3. Step 3: Cross multiply
    2,336.71x = 3,506.13 × 875.98
  4. Step 4: Simplify right side
    2,336.71x = 3,071,299.76
  5. Step 5: Solve for x
    x = 3,071,299.76/2,336.71
  6. Step 6: Final answer
    x = 1,314.37

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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.