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Finding the Fourth Proportional to 1,511.76, 2,263.56 and 1,048.56

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Solution

The fourth proportional to 1,511.76, 2,263.56 and 1,048.56 is: 1,570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.76 : 2,263.56 = 1,048.56 : x
  2. Step 2: Convert to fraction form
    1,511.76/2,263.56 = 1,048.56/x
  3. Step 3: Cross multiply
    1,511.76x = 2,263.56 × 1,048.56
  4. Step 4: Simplify right side
    1,511.76x = 2,373,478.47
  5. Step 5: Solve for x
    x = 2,373,478.47/1,511.76
  6. Step 6: Final answer
    x = 1,570.01

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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.