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Finding the Fourth Proportional to 2,130.06, 3,200.08 and 1,254.78

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Solution

The fourth proportional to 2,130.06, 3,200.08 and 1,254.78 is: 1,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.06 : 3,200.08 = 1,254.78 : x
  2. Step 2: Convert to fraction form
    2,130.06/3,200.08 = 1,254.78/x
  3. Step 3: Cross multiply
    2,130.06x = 3,200.08 × 1,254.78
  4. Step 4: Simplify right side
    2,130.06x = 4,015,396.38
  5. Step 5: Solve for x
    x = 4,015,396.38/2,130.06
  6. Step 6: Final answer
    x = 1,885.11

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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.