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Finding the Fourth Proportional to 3,065.64, 4,595.70 and 1,215.84

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Solution

The fourth proportional to 3,065.64, 4,595.70 and 1,215.84 is: 1,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.64 : 4,595.70 = 1,215.84 : x
  2. Step 2: Convert to fraction form
    3,065.64/4,595.70 = 1,215.84/x
  3. Step 3: Cross multiply
    3,065.64x = 4,595.70 × 1,215.84
  4. Step 4: Simplify right side
    3,065.64x = 5,587,635.89
  5. Step 5: Solve for x
    x = 5,587,635.89/3,065.64
  6. Step 6: Final answer
    x = 1,822.67

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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.