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Finding the Fourth Proportional to 2,130.93, 3,196.55 and 1,254.71

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Solution

The fourth proportional to 2,130.93, 3,196.55 and 1,254.71 is: 1,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.93 : 3,196.55 = 1,254.71 : x
  2. Step 2: Convert to fraction form
    2,130.93/3,196.55 = 1,254.71/x
  3. Step 3: Cross multiply
    2,130.93x = 3,196.55 × 1,254.71
  4. Step 4: Simplify right side
    2,130.93x = 4,010,754.38
  5. Step 5: Solve for x
    x = 4,010,754.38/2,130.93
  6. Step 6: Final answer
    x = 1,882.16

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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.