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Finding the Fourth Proportional to 2,130.65, 3,193.43 and 1,253.57

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Solution

The fourth proportional to 2,130.65, 3,193.43 and 1,253.57 is: 1,878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.65 : 3,193.43 = 1,253.57 : x
  2. Step 2: Convert to fraction form
    2,130.65/3,193.43 = 1,253.57/x
  3. Step 3: Cross multiply
    2,130.65x = 3,193.43 × 1,253.57
  4. Step 4: Simplify right side
    2,130.65x = 4,003,181.78
  5. Step 5: Solve for x
    x = 4,003,181.78/2,130.65
  6. Step 6: Final answer
    x = 1,878.85

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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.