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Finding the Fourth Proportional to 3,060, 4,575.98 and 2,280.53

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Solution

The fourth proportional to 3,060, 4,575.98 and 2,280.53 is: 3,410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,060 : 4,575.98 = 2,280.53 : x
  2. Step 2: Convert to fraction form
    3,060/4,575.98 = 2,280.53/x
  3. Step 3: Cross multiply
    3,060x = 4,575.98 × 2,280.53
  4. Step 4: Simplify right side
    3,060x = 10,435,676.81
  5. Step 5: Solve for x
    x = 10,435,676.81/3,060
  6. Step 6: Final answer
    x = 3,410.35

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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.