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Finding the Fourth Proportional to 1,511.46, 2,267.42 and 471.56

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Solution

The fourth proportional to 1,511.46, 2,267.42 and 471.56 is: 707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.46 : 2,267.42 = 471.56 : x
  2. Step 2: Convert to fraction form
    1,511.46/2,267.42 = 471.56/x
  3. Step 3: Cross multiply
    1,511.46x = 2,267.42 × 471.56
  4. Step 4: Simplify right side
    1,511.46x = 1,069,210.88
  5. Step 5: Solve for x
    x = 1,069,210.88/1,511.46
  6. Step 6: Final answer
    x = 707.40

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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.