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Finding the Fourth Proportional to 3,113.67, 4,666.95 and 1,263.90

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Solution

The fourth proportional to 3,113.67, 4,666.95 and 1,263.90 is: 1,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.67 : 4,666.95 = 1,263.90 : x
  2. Step 2: Convert to fraction form
    3,113.67/4,666.95 = 1,263.90/x
  3. Step 3: Cross multiply
    3,113.67x = 4,666.95 × 1,263.90
  4. Step 4: Simplify right side
    3,113.67x = 5,898,558.11
  5. Step 5: Solve for x
    x = 5,898,558.11/3,113.67
  6. Step 6: Final answer
    x = 1,894.41

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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.