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Finding the Fourth Proportional to 3,248.70, 4,873.05 and 783.51

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Solution

The fourth proportional to 3,248.70, 4,873.05 and 783.51 is: 1,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.70 : 4,873.05 = 783.51 : x
  2. Step 2: Convert to fraction form
    3,248.70/4,873.05 = 783.51/x
  3. Step 3: Cross multiply
    3,248.70x = 4,873.05 × 783.51
  4. Step 4: Simplify right side
    3,248.70x = 3,818,083.41
  5. Step 5: Solve for x
    x = 3,818,083.41/3,248.70
  6. Step 6: Final answer
    x = 1,175.27

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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.