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Finding the Fourth Proportional to 3,070.17, 4,605.30 and 761.67

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Solution

The fourth proportional to 3,070.17, 4,605.30 and 761.67 is: 1,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.17 : 4,605.30 = 761.67 : x
  2. Step 2: Convert to fraction form
    3,070.17/4,605.30 = 761.67/x
  3. Step 3: Cross multiply
    3,070.17x = 4,605.30 × 761.67
  4. Step 4: Simplify right side
    3,070.17x = 3,507,718.85
  5. Step 5: Solve for x
    x = 3,507,718.85/3,070.17
  6. Step 6: Final answer
    x = 1,142.52

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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.