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Finding the Fourth Proportional to 2,257.50, 3,113.70 and 1,630.11

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Solution

The fourth proportional to 2,257.50, 3,113.70 and 1,630.11 is: 2,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.50 : 3,113.70 = 1,630.11 : x
  2. Step 2: Convert to fraction form
    2,257.50/3,113.70 = 1,630.11/x
  3. Step 3: Cross multiply
    2,257.50x = 3,113.70 × 1,630.11
  4. Step 4: Simplify right side
    2,257.50x = 5,075,673.51
  5. Step 5: Solve for x
    x = 5,075,673.51/2,257.50
  6. Step 6: Final answer
    x = 2,248.36

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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.