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Finding the Fourth Proportional to 1,938.65, 2,907.98 and 552.14

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Solution

The fourth proportional to 1,938.65, 2,907.98 and 552.14 is: 828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.65 : 2,907.98 = 552.14 : x
  2. Step 2: Convert to fraction form
    1,938.65/2,907.98 = 552.14/x
  3. Step 3: Cross multiply
    1,938.65x = 2,907.98 × 552.14
  4. Step 4: Simplify right side
    1,938.65x = 1,605,612.08
  5. Step 5: Solve for x
    x = 1,605,612.08/1,938.65
  6. Step 6: Final answer
    x = 828.21

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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.