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Finding the Fourth Proportional to 3,066.61, 4,601.34 and 1,312.15

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Solution

The fourth proportional to 3,066.61, 4,601.34 and 1,312.15 is: 1,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.61 : 4,601.34 = 1,312.15 : x
  2. Step 2: Convert to fraction form
    3,066.61/4,601.34 = 1,312.15/x
  3. Step 3: Cross multiply
    3,066.61x = 4,601.34 × 1,312.15
  4. Step 4: Simplify right side
    3,066.61x = 6,037,648.28
  5. Step 5: Solve for x
    x = 6,037,648.28/3,066.61
  6. Step 6: Final answer
    x = 1,968.83

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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.